Answer
$\frac{2x+12}{5}$
Work Step by Step
Because we are solving for y, we start off by getting rid of x by adding 2x to both sides of the equation to set y equal to x.
-2x+5y=12
+2x +2x
5y=2x+12
The next step is to divide by 5 to get y by itself. When you divide one variable by a number, you must divide all of them by that number.
After completing this step, our equation is now converted to slope-intercept form.