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-2x-6=-y
Subtract y from both sides. Anything subtracted from zero gives its negation.
-2x=-y+6
Add 6 to both sides.
-2x=6-y
The equation is in standard form.
\frac{-2x}{-2}=\frac{6-y}{-2}
Divide both sides by -2.
x=\frac{6-y}{-2}
Dividing by -2 undoes the multiplication by -2.
x=\frac{y}{2}-3
Divide -y+6 by -2.
y-6=2x
Add 2x to both sides. Anything plus zero gives itself.
y=2x+6
Add 6 to both sides.