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