Solve the equation y + 3 = -y +9
A. y = 1
B. y = 3
C. y = 6
D. y = 9H291<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n The correct answer is B. y=3<\/p>\n\n\n\n To solve the equation ( y + 3 = -y + 9 ), we will isolate the variable ( y ) on one side of the equation.<\/p>\n\n\n\n The solution to the equation ( y + 3 = -y + 9 ) is ( y = 3 ). Therefore, the correct answer is B. ( y = 3 )<\/strong>.<\/p>\n\n\n\n This equation demonstrates a simple linear relationship where ( y ) is represented on both sides. To isolate ( y ), we systematically rearranged the terms. The addition of ( y ) to both sides allowed us to consolidate all ( y ) terms on one side, forming ( 2y + 3 = 9 ). Subtracting constants from both sides is a fundamental principle in algebra that enables us to solve equations efficiently.<\/p>\n\n\n\n Linear equations like this one typically have a straightforward path to a solution due to their single-variable nature and the operations allowed in algebra. Ensuring each operation is applied equally on both sides of the equation maintains the equality, which is crucial in mathematics.<\/p>\n\n\n\n By reducing the equation step-by-step, we arrive at a clear, isolated solution for ( y ). This skill is vital for solving more complex equations encountered in algebra and beyond. Thus, being adept at manipulating equations lays the groundwork for higher-level math understanding.<\/p>\n","protected":false},"excerpt":{"rendered":" Solve the equation y + 3 = -y +9A. y = 1B. y = 3C. y = 6D. y = 9H291 The Correct Answer and Explanation is: The correct answer is B. y=3 To solve the equation ( y + 3 = -y + 9 ), we will isolate the variable ( y ) on […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-161667","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/161667","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=161667"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/161667\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=161667"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=161667"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=161667"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step-by-Step Solution:<\/h3>\n\n\n\n
\n
[
y + 3 = -y + 9
]<\/li>\n\n\n\n
This will help eliminate ( -y ) on the right side:
[
y + y + 3 = 9
]
Simplifying gives:
[
2y + 3 = 9
]<\/li>\n\n\n\n
We want to isolate ( 2y ):
[
2y = 9 – 3
]
Simplifying further gives:
[
2y = 6
]<\/li>\n\n\n\n
To solve for ( y ), we divide:
[
y = \\frac{6}{2}
]
Simplifying gives:
[
y = 3
]<\/li>\n<\/ol>\n\n\n\nConclusion:<\/h3>\n\n\n\n
Explanation:<\/h3>\n\n\n\n