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2x+1=-7y
Subtract 7y from both sides. Anything subtracted from zero gives its negation.
2x=-7y-1
Subtract 1 from both sides.
\frac{2x}{2}=\frac{-7y-1}{2}
Divide both sides by 2.
x=\frac{-7y-1}{2}
Dividing by 2 undoes the multiplication by 2.