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10x=5-23y
Subtract 23y from both sides.
\frac{10x}{10}=\frac{5-23y}{10}
Divide both sides by 10.
x=\frac{5-23y}{10}
Dividing by 10 undoes the multiplication by 10.
x=-\frac{23y}{10}+\frac{1}{2}
Divide 5-23y by 10.
23y=5-10x
Subtract 10x from both sides.
\frac{23y}{23}=\frac{5-10x}{23}
Divide both sides by 23.
y=\frac{5-10x}{23}
Dividing by 23 undoes the multiplication by 23.