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4x=3y
Add 3y to both sides. Anything plus zero gives itself.
\frac{4x}{4}=\frac{3y}{4}
Divide both sides by 4.
x=\frac{3y}{4}
Dividing by 4 undoes the multiplication by 4.
-3y=-4x
Subtract 4x from both sides. Anything subtracted from zero gives its negation.
\frac{-3y}{-3}=-\frac{4x}{-3}
Divide both sides by -3.
y=-\frac{4x}{-3}
Dividing by -3 undoes the multiplication by -3.
y=\frac{4x}{3}
Divide -4x by -3.