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y-4=-3x-9
Use the distributive property to multiply -3 by x+3.
-3x-9=y-4
Swap sides so that all variable terms are on the left hand side.
-3x=y-4+9
Add 9 to both sides.
-3x=y+5
Add -4 and 9 to get 5.
\frac{-3x}{-3}=\frac{y+5}{-3}
Divide both sides by -3.
x=\frac{y+5}{-3}
Dividing by -3 undoes the multiplication by -3.
x=\frac{-y-5}{3}
Divide y+5 by -3.
y-4=-3x-9
Use the distributive property to multiply -3 by x+3.
y=-3x-9+4
Add 4 to both sides.
y=-3x-5
Add -9 and 4 to get -5.