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-6x=3-9y
Subtract 9y from both sides.
\frac{-6x}{-6}=\frac{3-9y}{-6}
Divide both sides by -6.
x=\frac{3-9y}{-6}
Dividing by -6 undoes the multiplication by -6.
x=\frac{3y-1}{2}
Divide 3-9y by -6.
9y=3+6x
Add 6x to both sides.
9y=6x+3
The equation is in standard form.
\frac{9y}{9}=\frac{6x+3}{9}
Divide both sides by 9.
y=\frac{6x+3}{9}
Dividing by 9 undoes the multiplication by 9.
y=\frac{2x+1}{3}
Divide 3+6x by 9.