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-4x=y-10
Subtract 10 from both sides.
\frac{-4x}{-4}=\frac{y-10}{-4}
Divide both sides by -4.
x=\frac{y-10}{-4}
Dividing by -4 undoes the multiplication by -4.
x=-\frac{y}{4}+\frac{5}{2}
Divide y-10 by -4.
y=10-4x
Swap sides so that all variable terms are on the left hand side.