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y+8=-2x+4
Use the distributive property to multiply -2 by x-2.
-2x+4=y+8
Swap sides so that all variable terms are on the left hand side.
-2x=y+8-4
Subtract 4 from both sides.
-2x=y+4
Subtract 4 from 8 to get 4.
\frac{-2x}{-2}=\frac{y+4}{-2}
Divide both sides by -2.
x=\frac{y+4}{-2}
Dividing by -2 undoes the multiplication by -2.
x=-\frac{y}{2}-2
Divide y+4 by -2.
y+8=-2x+4
Use the distributive property to multiply -2 by x-2.
y=-2x+4-8
Subtract 8 from both sides.
y=-2x-4
Subtract 8 from 4 to get -4.