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-\frac{8}{3}x=4y+4
Swap sides so that all variable terms are on the left hand side.
\frac{-\frac{8}{3}x}{-\frac{8}{3}}=\frac{4y+4}{-\frac{8}{3}}
Divide both sides of the equation by -\frac{8}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{4y+4}{-\frac{8}{3}}
Dividing by -\frac{8}{3} undoes the multiplication by -\frac{8}{3}.
x=\frac{-3y-3}{2}
Divide 4+4y by -\frac{8}{3} by multiplying 4+4y by the reciprocal of -\frac{8}{3}.
4y=-\frac{8}{3}x-4
Subtract 4 from both sides.
4y=-\frac{8x}{3}-4
The equation is in standard form.
\frac{4y}{4}=\frac{-\frac{8x}{3}-4}{4}
Divide both sides by 4.
y=\frac{-\frac{8x}{3}-4}{4}
Dividing by 4 undoes the multiplication by 4.
y=-\frac{2x}{3}-1
Divide -\frac{8x}{3}-4 by 4.