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5x=23-8y
Subtract 8y from both sides.
\frac{5x}{5}=\frac{23-8y}{5}
Divide both sides by 5.
x=\frac{23-8y}{5}
Dividing by 5 undoes the multiplication by 5.
8y=23-5x
Subtract 5x from both sides.
\frac{8y}{8}=\frac{23-5x}{8}
Divide both sides by 8.
y=\frac{23-5x}{8}
Dividing by 8 undoes the multiplication by 8.