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x+17=7y
Add 7y to both sides. Anything plus zero gives itself.
x=7y-17
Subtract 17 from both sides.
-7y+17=-x
Subtract x from both sides. Anything subtracted from zero gives its negation.
-7y=-x-17
Subtract 17 from both sides.
\frac{-7y}{-7}=\frac{-x-17}{-7}
Divide both sides by -7.
y=\frac{-x-17}{-7}
Dividing by -7 undoes the multiplication by -7.
y=\frac{x+17}{7}
Divide -x-17 by -7.