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2x-2=y
Add y to both sides. Anything plus zero gives itself.
2x=y+2
Add 2 to both sides.
\frac{2x}{2}=\frac{y+2}{2}
Divide both sides by 2.
x=\frac{y+2}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{y}{2}+1
Divide y+2 by 2.
-y-2=-2x
Subtract 2x from both sides. Anything subtracted from zero gives its negation.
-y=-2x+2
Add 2 to both sides.
-y=2-2x
The equation is in standard form.
\frac{-y}{-1}=\frac{2-2x}{-1}
Divide both sides by -1.
y=\frac{2-2x}{-1}
Dividing by -1 undoes the multiplication by -1.
y=2x-2
Divide -2x+2 by -1.