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x=\frac{22}{3}-\frac{1}{3}y
Divide each term of 22-y by 3 to get \frac{22}{3}-\frac{1}{3}y.
\frac{22}{3}-\frac{1}{3}y=x
Swap sides so that all variable terms are on the left hand side.
-\frac{1}{3}y=x-\frac{22}{3}
Subtract \frac{22}{3} from both sides.
\frac{-\frac{1}{3}y}{-\frac{1}{3}}=\frac{x-\frac{22}{3}}{-\frac{1}{3}}
Multiply both sides by -3.
y=\frac{x-\frac{22}{3}}{-\frac{1}{3}}
Dividing by -\frac{1}{3} undoes the multiplication by -\frac{1}{3}.
y=22-3x
Divide x-\frac{22}{3} by -\frac{1}{3} by multiplying x-\frac{22}{3} by the reciprocal of -\frac{1}{3}.
x=\frac{22}{3}-\frac{1}{3}y
Divide each term of 22-y by 3 to get \frac{22}{3}-\frac{1}{3}y.