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