## Elementary Technical Mathematics

Published by Brooks Cole

# Chapter 6 - Section 6.2 - Equations with Variables in Both Members - Exercises - Page 240: 12

y=1

#### Work Step by Step

Simplifying -5y + 12 = 12y + -5 Reorder the terms: 12 + -5y = 12y + -5 Reorder the terms: 12 + -5y = -5 + 12y Solving 12 + -5y = -5 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 12 + -5y + -12y = -5 + 12y + -12y Combine like terms: -5y + -12y = -17y 12 + -17y = -5 + 12y + -12y Combine like terms: 12y + -12y = 0 12 + -17y = -5 + 0 12 + -17y = -5 Add '-12' to each side of the equation. 12 + -12 + -17y = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -17y = -5 + -12 -17y = -5 + -12 Combine like terms: -5 + -12 = -17 -17y = -17 Divide each side by '-17'. y = 1 Simplifying y = 1

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