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y-4=-2x-6
Use the distributive property to multiply -2 by x+3.
-2x-6=y-4
Swap sides so that all variable terms are on the left hand side.
-2x=y-4+6
Add 6 to both sides.
-2x=y+2
Add -4 and 6 to get 2.
\frac{-2x}{-2}=\frac{y+2}{-2}
Divide both sides by -2.
x=\frac{y+2}{-2}
Dividing by -2 undoes the multiplication by -2.
x=-\frac{y}{2}-1
Divide y+2 by -2.
y-4=-2x-6
Use the distributive property to multiply -2 by x+3.
y=-2x-6+4
Add 4 to both sides.
y=-2x-2
Add -6 and 4 to get -2.