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10x=y-2
Subtract 2 from both sides.
\frac{10x}{10}=\frac{y-2}{10}
Divide both sides by 10.
x=\frac{y-2}{10}
Dividing by 10 undoes the multiplication by 10.
x=\frac{y}{10}-\frac{1}{5}
Divide y-2 by 10.
y=10x+2
Swap sides so that all variable terms are on the left hand side.