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\frac{3}{8}x=y
Swap sides so that all variable terms are on the left hand side.
\frac{\frac{3}{8}x}{\frac{3}{8}}=\frac{y}{\frac{3}{8}}
Divide both sides of the equation by \frac{3}{8}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y}{\frac{3}{8}}
Dividing by \frac{3}{8} undoes the multiplication by \frac{3}{8}.
x=\frac{8y}{3}
Divide y by \frac{3}{8} by multiplying y by the reciprocal of \frac{3}{8}.