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y+4=6x-12
Use the distributive property to multiply 6 by x-2.
6x-12=y+4
Swap sides so that all variable terms are on the left hand side.
6x=y+4+12
Add 12 to both sides.
6x=y+16
Add 4 and 12 to get 16.
\frac{6x}{6}=\frac{y+16}{6}
Divide both sides by 6.
x=\frac{y+16}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{y}{6}+\frac{8}{3}
Divide y+16 by 6.
y+4=6x-12
Use the distributive property to multiply 6 by x-2.
y=6x-12-4
Subtract 4 from both sides.
y=6x-16
Subtract 4 from -12 to get -16.