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\frac{5}{4}x=y
The equation is in standard form.
\frac{\frac{5}{4}x}{\frac{5}{4}}=\frac{y}{\frac{5}{4}}
Divide both sides of the equation by \frac{5}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y}{\frac{5}{4}}
Dividing by \frac{5}{4} undoes the multiplication by \frac{5}{4}.
x=\frac{4y}{5}
Divide y by \frac{5}{4} by multiplying y by the reciprocal of \frac{5}{4}.
y=\frac{5}{4}x
Swap sides so that all variable terms are on the left hand side.