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9x=1-6y
Subtract 6y from both sides.
\frac{9x}{9}=\frac{1-6y}{9}
Divide both sides by 9.
x=\frac{1-6y}{9}
Dividing by 9 undoes the multiplication by 9.
x=-\frac{2y}{3}+\frac{1}{9}
Divide 1-6y by 9.
6y=1-9x
Subtract 9x from both sides.
\frac{6y}{6}=\frac{1-9x}{6}
Divide both sides by 6.
y=\frac{1-9x}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{3x}{2}+\frac{1}{6}
Divide 1-9x by 6.