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\frac{18}{-2}=2y-3
Divide both sides by -2.
-9=2y-3
Divide 18 by -2 to get -9.
2y-3=-9
Swap sides so that all variable terms are on the left hand side.
2y=-9+3
Add 3 to both sides.
2y=-6
Add -9 and 3 to get -6.
y=\frac{-6}{2}
Divide both sides by 2.
y=-3
Divide -6 by 2 to get -3.