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-17x+47=y
Swap sides so that all variable terms are on the left hand side.
-17x=y-47
Subtract 47 from both sides.
\frac{-17x}{-17}=\frac{y-47}{-17}
Divide both sides by -17.
x=\frac{y-47}{-17}
Dividing by -17 undoes the multiplication by -17.
x=\frac{47-y}{17}
Divide y-47 by -17.