# How do you solve for y in 2y+3x-15=5y?

Apr 7, 2015

The solution is $y = x - 5$.

Flip the equation.

$5 y = 2 y + 3 x - 15$

Subtract $2 y$ from both sides.

$3 y = 3 x - 15$

Divide both sides by 3.

$\frac{\cancel{3} y}{\cancel{3}} = \frac{\cancel{3} x}{\cancel{3}} - \frac{15}{3}$

$y = x - \frac{15}{3} = 5$

$y = x - 5$