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3x=9-6y
Subtract 6y from both sides.
\frac{3x}{3}=\frac{9-6y}{3}
Divide both sides by 3.
x=\frac{9-6y}{3}
Dividing by 3 undoes the multiplication by 3.
x=3-2y
Divide 9-6y by 3.
6y=9-3x
Subtract 3x from both sides.
\frac{6y}{6}=\frac{9-3x}{6}
Divide both sides by 6.
y=\frac{9-3x}{6}
Dividing by 6 undoes the multiplication by 6.
y=\frac{3-x}{2}
Divide 9-3x by 6.