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-\frac{1}{5}x+5=y
Swap sides so that all variable terms are on the left hand side.
-\frac{1}{5}x=y-5
Subtract 5 from both sides.
\frac{-\frac{1}{5}x}{-\frac{1}{5}}=\frac{y-5}{-\frac{1}{5}}
Multiply both sides by -5.
x=\frac{y-5}{-\frac{1}{5}}
Dividing by -\frac{1}{5} undoes the multiplication by -\frac{1}{5}.
x=25-5y
Divide y-5 by -\frac{1}{5} by multiplying y-5 by the reciprocal of -\frac{1}{5}.