Answer
$y=\frac{-3}{2}x+15$
Work Step by Step
We are given:
$\frac{1}{2}x+\frac{1}{3}y=5$
Subtract $\frac{1}{2}x$ from both sides:
$\rightarrow \frac{1}{3}y=-\frac{1}{2}x+5$
Divide both sides by $\frac{1}{3}$
$\rightarrow y=\frac{-3}{2}x+15$