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