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-6y=17-x
Subtract x from both sides.
\frac{-6y}{-6}=\frac{17-x}{-6}
Divide both sides by -6.
y=\frac{17-x}{-6}
Dividing by -6 undoes the multiplication by -6.
y=\frac{x-17}{6}
Divide 17-x by -6.
x=17+6y
Add 6y to both sides.