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x=\frac{1}{10}y+\frac{1}{2}
Divide each term of y+5 by 10 to get \frac{1}{10}y+\frac{1}{2}.
\frac{1}{10}y+\frac{1}{2}=x
Swap sides so that all variable terms are on the left hand side.
\frac{1}{10}y=x-\frac{1}{2}
Subtract \frac{1}{2} from both sides.
\frac{\frac{1}{10}y}{\frac{1}{10}}=\frac{x-\frac{1}{2}}{\frac{1}{10}}
Multiply both sides by 10.
y=\frac{x-\frac{1}{2}}{\frac{1}{10}}
Dividing by \frac{1}{10} undoes the multiplication by \frac{1}{10}.
y=10x-5
Divide x-\frac{1}{2} by \frac{1}{10} by multiplying x-\frac{1}{2} by the reciprocal of \frac{1}{10}.
x=\frac{1}{10}y+\frac{1}{2}
Divide each term of y+5 by 10 to get \frac{1}{10}y+\frac{1}{2}.