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-2x-3y=6-6
Subtract 6 from both sides.
-2x-3y=0
Subtract 6 from 6 to get 0.
-2x=3y
Add 3y to both sides. Anything plus zero gives itself.
\frac{-2x}{-2}=\frac{3y}{-2}
Divide both sides by -2.
x=\frac{3y}{-2}
Dividing by -2 undoes the multiplication by -2.
x=-\frac{3y}{2}
Divide 3y by -2.
-2x-3y=6-6
Subtract 6 from both sides.
-2x-3y=0
Subtract 6 from 6 to get 0.
-3y=2x
Add 2x to both sides. Anything plus zero gives itself.
\frac{-3y}{-3}=\frac{2x}{-3}
Divide both sides by -3.
y=\frac{2x}{-3}
Dividing by -3 undoes the multiplication by -3.
y=-\frac{2x}{3}
Divide 2x by -3.