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5x+4=3y
Add 3y to both sides. Anything plus zero gives itself.
5x=3y-4
Subtract 4 from both sides.
\frac{5x}{5}=\frac{3y-4}{5}
Divide both sides by 5.
x=\frac{3y-4}{5}
Dividing by 5 undoes the multiplication by 5.
-3y+4=-5x
Subtract 5x from both sides. Anything subtracted from zero gives its negation.
-3y=-5x-4
Subtract 4 from both sides.
\frac{-3y}{-3}=\frac{-5x-4}{-3}
Divide both sides by -3.
y=\frac{-5x-4}{-3}
Dividing by -3 undoes the multiplication by -3.
y=\frac{5x+4}{3}
Divide -5x-4 by -3.