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y-10=-4x-8
Use the distributive property to multiply -4 by x+2.
-4x-8=y-10
Swap sides so that all variable terms are on the left hand side.
-4x=y-10+8
Add 8 to both sides.
-4x=y-2
Add -10 and 8 to get -2.
\frac{-4x}{-4}=\frac{y-2}{-4}
Divide both sides by -4.
x=\frac{y-2}{-4}
Dividing by -4 undoes the multiplication by -4.
x=-\frac{y}{4}+\frac{1}{2}
Divide y-2 by -4.
y-10=-4x-8
Use the distributive property to multiply -4 by x+2.
y=-4x-8+10
Add 10 to both sides.
y=-4x+2
Add -8 and 10 to get 2.