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-\frac{5}{8}y=x
The equation is in standard form.
\frac{-\frac{5}{8}y}{-\frac{5}{8}}=\frac{x}{-\frac{5}{8}}
Divide both sides of the equation by -\frac{5}{8}, which is the same as multiplying both sides by the reciprocal of the fraction.
y=\frac{x}{-\frac{5}{8}}
Dividing by -\frac{5}{8} undoes the multiplication by -\frac{5}{8}.
y=-\frac{8x}{5}
Divide x by -\frac{5}{8} by multiplying x by the reciprocal of -\frac{5}{8}.
x=-\frac{5}{8}y
Swap sides so that all variable terms are on the left hand side.