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y=-x-4
Combine \frac{2}{3}x and -\frac{5}{3}x to get -x.
-x-4=y
Swap sides so that all variable terms are on the left hand side.
-x=y+4
Add 4 to both sides.
\frac{-x}{-1}=\frac{y+4}{-1}
Divide both sides by -1.
x=\frac{y+4}{-1}
Dividing by -1 undoes the multiplication by -1.
x=-\left(y+4\right)
Divide y+4 by -1.
y=-x-4
Combine \frac{2}{3}x and -\frac{5}{3}x to get -x.