## Algebra 2 Common Core

$y=\frac{2}{5}x-\frac{3}{2}$
We can first get rid of fractions by multiplying both sides by the LCM of the denominators, which is 24. We have $24(\frac{x}{6}-\frac{5}{12}y)=(\frac{5}{8})24$ is $4x-10y=15$. Now, we isolate y with its coefficient by subtracting 4x from both sides. We have $-10y=-4x+15$. Now, we divide both sides by -10 to get $\frac{-10y}{-10}=\frac{-4x+15}{-10}$. We simplify to get $y=\frac{2}{5}x-\frac{3}{2}$.