Solve for x
x=2\left(y-2\right)
Solve for y
y=\frac{x+4}{2}
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x-4=2y-8
Use the distributive property to multiply 2 by y-4.
x=2y-8+4
Add 4 to both sides.
x=2y-4
Add -8 and 4 to get -4.
x-4=2y-8
Use the distributive property to multiply 2 by y-4.
2y-8=x-4
Swap sides so that all variable terms are on the left hand side.
2y=x-4+8
Add 8 to both sides.
2y=x+4
Add -4 and 8 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.
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