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4y=-\frac{5}{3}-x
Subtract x from both sides.
4y=-x-\frac{5}{3}
The equation is in standard form.
\frac{4y}{4}=\frac{-x-\frac{5}{3}}{4}
Divide both sides by 4.
y=\frac{-x-\frac{5}{3}}{4}
Dividing by 4 undoes the multiplication by 4.
y=-\frac{x}{4}-\frac{5}{12}
Divide -\frac{5}{3}-x by 4.
x=-\frac{5}{3}-4y
Subtract 4y from both sides.