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6x=3y-12
The equation is in standard form.
\frac{6x}{6}=\frac{3y-12}{6}
Divide both sides by 6.
x=\frac{3y-12}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{y}{2}-2
Divide -12+3y by 6.
3y-12=6x
Swap sides so that all variable terms are on the left hand side.
3y=6x+12
Add 12 to both sides.
\frac{3y}{3}=\frac{6x+12}{3}
Divide both sides by 3.
y=\frac{6x+12}{3}
Dividing by 3 undoes the multiplication by 3.
y=2x+4
Divide 12+6x by 3.