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4x=9y-\frac{3}{16}
Subtract \frac{3}{16} from both sides.
\frac{4x}{4}=\frac{9y-\frac{3}{16}}{4}
Divide both sides by 4.
x=\frac{9y-\frac{3}{16}}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{9y}{4}-\frac{3}{64}
Divide 9y-\frac{3}{16} by 4.
9y=4x+\frac{3}{16}
Swap sides so that all variable terms are on the left hand side.
\frac{9y}{9}=\frac{4x+\frac{3}{16}}{9}
Divide both sides by 9.
y=\frac{4x+\frac{3}{16}}{9}
Dividing by 9 undoes the multiplication by 9.
y=\frac{4x}{9}+\frac{1}{48}
Divide 4x+\frac{3}{16} by 9.