Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.1 Algebraic Expressions and Formulas - Exercise Set 6.1 - Page 347: 59

Answer

16y - 25

Work Step by Step

7 - 4[3 - (4y - 5)] Step 1: Drop parentheses and change the sign of each term in parentheses: −(4y-5) = −4y +5 7 - 4[3-4y+5] Step 2 Simplify inside brackets: 3+5 = 8 7-4[8-4y] Step 3 Apply the distributive property: 7 - 4.8 +4.4y Step 4: Multiply 7 - 32 +16y Step 5: Group like terms (7-32) + 16y Step 6: Combine the like terms (7-32) = -25 -25 + 16y Step 7 Commutative Property of Addition 16y - 25
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