Answer
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