\[2x-3y=-2\]
Solving for x. Want to solve for y instead?
1
Add 3y3y to both sides.
2x=−2+3y2x=-2+3y

2
Regroup terms.
2x=3y−22x=3y-2

3
Divide both sides by 22.
x=3y−22x=\frac{3y-2}{2}

4
Simplify  3y−22\frac{3y-2}{2}  to  −1+3y2-1+\frac{3y}{2}.
x=−1+3y2x=-1+\frac{3y}{2}

5
Regroup terms.
x=3y2−1x=\frac{3y}{2}-1

Done
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