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2x+2=-5y
Subtract 5y from both sides. Anything subtracted from zero gives its negation.
2x=-5y-2
Subtract 2 from both sides.
\frac{2x}{2}=\frac{-5y-2}{2}
Divide both sides by 2.
x=\frac{-5y-2}{2}
Dividing by 2 undoes the multiplication by 2.
x=-\frac{5y}{2}-1
Divide -5y-2 by 2.
5y+2=-2x
Subtract 2x from both sides. Anything subtracted from zero gives its negation.
5y=-2x-2
Subtract 2 from both sides.
\frac{5y}{5}=\frac{-2x-2}{5}
Divide both sides by 5.
y=\frac{-2x-2}{5}
Dividing by 5 undoes the multiplication by 5.