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\frac{1}{5}x+6=y
Swap sides so that all variable terms are on the left hand side.
\frac{1}{5}x=y-6
Subtract 6 from both sides.
\frac{\frac{1}{5}x}{\frac{1}{5}}=\frac{y-6}{\frac{1}{5}}
Multiply both sides by 5.
x=\frac{y-6}{\frac{1}{5}}
Dividing by \frac{1}{5} undoes the multiplication by \frac{1}{5}.
x=5y-30
Divide y-6 by \frac{1}{5} by multiplying y-6 by the reciprocal of \frac{1}{5}.