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3x-6+3y=6x
Use the distributive property to multiply 3 by x-2.
3x-6+3y-6x=0
Subtract 6x from both sides.
-3x-6+3y=0
Combine 3x and -6x to get -3x.
-3x+3y=6
Add 6 to both sides. Anything plus zero gives itself.
-3x=6-3y
Subtract 3y from both sides.
\frac{-3x}{-3}=\frac{6-3y}{-3}
Divide both sides by -3.
x=\frac{6-3y}{-3}
Dividing by -3 undoes the multiplication by -3.
x=y-2
Divide 6-3y by -3.
3x-6+3y=6x
Use the distributive property to multiply 3 by x-2.
-6+3y=6x-3x
Subtract 3x from both sides.
-6+3y=3x
Combine 6x and -3x to get 3x.
3y=3x+6
Add 6 to both sides.
\frac{3y}{3}=\frac{3x+6}{3}
Divide both sides by 3.
y=\frac{3x+6}{3}
Dividing by 3 undoes the multiplication by 3.
y=x+2
Divide 6+3x by 3.