## Algebra: A Combined Approach (4th Edition)

Published by Pearson

# Chapter 2 - Section 2.3 - Further Solving Linear Equations - Exercise Set - Page 120: 59

y = -17

#### Work Step by Step

$\frac{9}{2} + \frac{5}{2}y = 2y - 4$ Subtract 2y from both sides: $\frac{9}{2} + \frac{5}{2}y - 2y = -4$ $\frac{9}{2} +\frac{1}{2}y = -4$ Subtract $\frac{9}{2}$ from both sides: $\frac{1}{2}y = -4 - \frac{9}{2}$ $\frac{1}{2}y = -\frac{17}{2}$ Multiply both sides by the reciprocal of the coefficient, 2: $2(\frac{1}{2}y) = 2(-\frac{17}{2})$ y = -17

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