Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 1 - Expressions, Equations, and Inequalities - 1-3 Algebraic Expressions - Practice and Problem-Solving Exercises - Page 23: 49

Answer

$y$

Work Step by Step

Original expression: $-(2x+y) -2(-x-y)$ Distribute the $-1$ in the first term (implied $-1$ from $-(x)$, and the $-2$ in the second term: $-2x-y + 2x+2y$ (the last two terms are both positive because you are multiplying two negative numbers) Add and subtract like terms: $-2x + 2x = 0$ $-y + 2y = 1y$ or $y$ Thus, the simplified form of the given expression is: $=0+y \\=y$
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