Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 6 - Section 6.3 - Equations with Parentheses - Exercises: 18

Answer

y=2

Work Step by Step

Simplifying 4y + -6(2 + -1y) = 8 4y + (2 * -6 + -1y * -6) = 8 4y + (-12 + 6y) = 8 Reorder the terms: -12 + 4y + 6y = 8 Combine like terms: 4y + 6y = 10y -12 + 10y = 8 Solving -12 + 10y = 8 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 10y = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 10y = 8 + 12 10y = 8 + 12 Combine like terms: 8 + 12 = 20 10y = 20 Divide each side by '10'. y = 2 Simplifying y = 2
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