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2x+27=7y
Add 7y to both sides. Anything plus zero gives itself.
2x=7y-27
Subtract 27 from both sides.
\frac{2x}{2}=\frac{7y-27}{2}
Divide both sides by 2.
x=\frac{7y-27}{2}
Dividing by 2 undoes the multiplication by 2.
-7y+27=-2x
Subtract 2x from both sides. Anything subtracted from zero gives its negation.
-7y=-2x-27
Subtract 27 from both sides.
\frac{-7y}{-7}=\frac{-2x-27}{-7}
Divide both sides by -7.
y=\frac{-2x-27}{-7}
Dividing by -7 undoes the multiplication by -7.
y=\frac{2x+27}{7}
Divide -2x-27 by -7.