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x-2=2y+2
Multiply both sides of the equation by 2.
x=2y+2+2
Add 2 to both sides.
x=2y+4
Add 2 and 2 to get 4.
x-2=2y+2
Multiply both sides of the equation by 2.
2y+2=x-2
Swap sides so that all variable terms are on the left hand side.
2y=x-2-2
Subtract 2 from both sides.
2y=x-4
Subtract 2 from -2 to get -4.
\frac{2y}{2}=\frac{x-4}{2}
Divide both sides by 2.
y=\frac{x-4}{2}
Dividing by 2 undoes the multiplication by 2.
y=\frac{x}{2}-2
Divide x-4 by 2.