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x+6=-2y
Subtract 2y from both sides. Anything subtracted from zero gives its negation.
x=-2y-6
Subtract 6 from both sides.
2y+6=-x
Subtract x from both sides. Anything subtracted from zero gives its negation.
2y=-x-6
Subtract 6 from both sides.
\frac{2y}{2}=\frac{-x-6}{2}
Divide both sides by 2.
y=\frac{-x-6}{2}
Dividing by 2 undoes the multiplication by 2.
y=-\frac{x}{2}-3
Divide -x-6 by 2.