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x=\frac{1}{3}y
Divide 3y by 9 to get \frac{1}{3}y.
\frac{1}{3}y=x
Swap sides so that all variable terms are on the left hand side.
\frac{\frac{1}{3}y}{\frac{1}{3}}=\frac{x}{\frac{1}{3}}
Multiply both sides by 3.
y=\frac{x}{\frac{1}{3}}
Dividing by \frac{1}{3} undoes the multiplication by \frac{1}{3}.
y=3x
Divide x by \frac{1}{3} by multiplying x by the reciprocal of \frac{1}{3}.
x=\frac{1}{3}y
Divide 3y by 9 to get \frac{1}{3}y.