Answer
$y=\frac{12+2x}{5}$
Work Step by Step
We are trying to isolate the y variable in $-2x+5y=12$
To do this, we must first get the $y$ term on a side by itself by adding $2x$ to each side to cancel out the negative $2x$ that is added to the $y$ : $5y=12+2x$
Then, we must divide by the $5$ that is being multiplied by the $y$ to get $y$ alone: $y=\frac{12+2x}{5}$