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