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-5x+\frac{6}{13}=y
Swap sides so that all variable terms are on the left hand side.
-5x=y-\frac{6}{13}
Subtract \frac{6}{13} from both sides.
\frac{-5x}{-5}=\frac{y-\frac{6}{13}}{-5}
Divide both sides by -5.
x=\frac{y-\frac{6}{13}}{-5}
Dividing by -5 undoes the multiplication by -5.
x=-\frac{y}{5}+\frac{6}{65}
Divide y-\frac{6}{13} by -5.