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4x=12-6y
Subtract 6y from both sides.
\frac{4x}{4}=\frac{12-6y}{4}
Divide both sides by 4.
x=\frac{12-6y}{4}
Dividing by 4 undoes the multiplication by 4.
x=-\frac{3y}{2}+3
Divide 12-6y by 4.
6y=12-4x
Subtract 4x from both sides.
\frac{6y}{6}=\frac{12-4x}{6}
Divide both sides by 6.
y=\frac{12-4x}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{2x}{3}+2
Divide 12-4x by 6.