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-6x+10=y
Swap sides so that all variable terms are on the left hand side.
-6x=y-10
Subtract 10 from both sides.
\frac{-6x}{-6}=\frac{y-10}{-6}
Divide both sides by -6.
x=\frac{y-10}{-6}
Dividing by -6 undoes the multiplication by -6.
x=-\frac{y}{6}+\frac{5}{3}
Divide y-10 by -6.