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-4x-4=\frac{4}{3}y
Swap sides so that all variable terms are on the left hand side.
-4x=\frac{4}{3}y+4
Add 4 to both sides.
-4x=\frac{4y}{3}+4
The equation is in standard form.
\frac{-4x}{-4}=\frac{\frac{4y}{3}+4}{-4}
Divide both sides by -4.
x=\frac{\frac{4y}{3}+4}{-4}
Dividing by -4 undoes the multiplication by -4.
x=-\frac{y}{3}-1
Divide 4+\frac{4y}{3} by -4.
\frac{4}{3}y=-4x-4
The equation is in standard form.
\frac{\frac{4}{3}y}{\frac{4}{3}}=\frac{-4x-4}{\frac{4}{3}}
Divide both sides of the equation by \frac{4}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.
y=\frac{-4x-4}{\frac{4}{3}}
Dividing by \frac{4}{3} undoes the multiplication by \frac{4}{3}.
y=-3x-3
Divide -4x-4 by \frac{4}{3} by multiplying -4x-4 by the reciprocal of \frac{4}{3}.