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-4x+5=3y
Swap sides so that all variable terms are on the left hand side.
-4x=3y-5
Subtract 5 from both sides.
\frac{-4x}{-4}=\frac{3y-5}{-4}
Divide both sides by -4.
x=\frac{3y-5}{-4}
Dividing by -4 undoes the multiplication by -4.
x=\frac{5-3y}{4}
Divide 3y-5 by -4.
3y=5-4x
The equation is in standard form.
\frac{3y}{3}=\frac{5-4x}{3}
Divide both sides by 3.
y=\frac{5-4x}{3}
Dividing by 3 undoes the multiplication by 3.