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y-16=-4x+12
Use the distributive property to multiply -4 by x-3.
-4x+12=y-16
Swap sides so that all variable terms are on the left hand side.
-4x=y-16-12
Subtract 12 from both sides.
-4x=y-28
Subtract 12 from -16 to get -28.
\frac{-4x}{-4}=\frac{y-28}{-4}
Divide both sides by -4.
x=\frac{y-28}{-4}
Dividing by -4 undoes the multiplication by -4.
x=-\frac{y}{4}+7
Divide y-28 by -4.
y-16=-4x+12
Use the distributive property to multiply -4 by x-3.
y=-4x+12+16
Add 16 to both sides.
y=-4x+28
Add 12 and 16 to get 28.