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