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2x+4=-y
Subtract y from both sides. Anything subtracted from zero gives its negation.
2x=-y-4
Subtract 4 from both sides.
\frac{2x}{2}=\frac{-y-4}{2}
Divide both sides by 2.
x=\frac{-y-4}{2}
Dividing by 2 undoes the multiplication by 2.
x=-\frac{y}{2}-2
Divide -y-4 by 2.
y+4=-2x
Subtract 2x from both sides. Anything subtracted from zero gives its negation.
y=-2x-4
Subtract 4 from both sides.