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2x=12+6y
Add 6y to both sides.
2x=6y+12
The equation is in standard form.
\frac{2x}{2}=\frac{6y+12}{2}
Divide both sides by 2.
x=\frac{6y+12}{2}
Dividing by 2 undoes the multiplication by 2.
x=3y+6
Divide 12+6y by 2.
-6y=12-2x
Subtract 2x from both sides.
\frac{-6y}{-6}=\frac{12-2x}{-6}
Divide both sides by -6.
y=\frac{12-2x}{-6}
Dividing by -6 undoes the multiplication by -6.
y=\frac{x}{3}-2
Divide 12-2x by -6.