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-3x=3y+6
Swap sides so that all variable terms are on the left hand side.
\frac{-3x}{-3}=\frac{3y+6}{-3}
Divide both sides by -3.
x=\frac{3y+6}{-3}
Dividing by -3 undoes the multiplication by -3.
x=-\left(y+2\right)
Divide 6+3y by -3.
3y=-3x-6
Subtract 6 from both sides.
\frac{3y}{3}=\frac{-3x-6}{3}
Divide both sides by 3.
y=\frac{-3x-6}{3}
Dividing by 3 undoes the multiplication by 3.
y=-x-2
Divide -3x-6 by 3.