Algebra: A Combined Approach (4th Edition)

$\frac{9}{2} + \frac{5}{2}y = 2y - 4$ 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