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6x+6=3y
Swap sides so that all variable terms are on the left hand side.
6x=3y-6
Subtract 6 from both sides.
\frac{6x}{6}=\frac{3y-6}{6}
Divide both sides by 6.
x=\frac{3y-6}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{y}{2}-1
Divide -6+3y by 6.
3y=6x+6
The equation is in standard form.
\frac{3y}{3}=\frac{6x+6}{3}
Divide both sides by 3.
y=\frac{6x+6}{3}
Dividing by 3 undoes the multiplication by 3.
y=2x+2
Divide 6+6x by 3.