Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 3 - Solving Inequalities - Get Ready! - Page 161: 28



Work Step by Step

We first use the distributive property to obtain that 6y-12=8-2y. We add 2y to both sides to get that 8y-12=8. We need to get the y alone. Thus, we cancel out the subtraction by adding 12 on both sides. This leaves us with the equation $8y=20$. In order to cancel out multiplication, we use division, so we divide both sides by 8 to get that y=2.5. We plug 2.5 in for y and confirm that our answer is, indeed, correct.
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