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6x=2y+12
The equation is in standard form.
\frac{6x}{6}=\frac{2y+12}{6}
Divide both sides by 6.
x=\frac{2y+12}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{y}{3}+2
Divide 12+2y by 6.
2y+12=6x
Swap sides so that all variable terms are on the left hand side.
2y=6x-12
Subtract 12 from both sides.
\frac{2y}{2}=\frac{6x-12}{2}
Divide both sides by 2.
y=\frac{6x-12}{2}
Dividing by 2 undoes the multiplication by 2.
y=3x-6
Divide -12+6x by 2.