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7x=9-8y
Subtract 8y from both sides.
\frac{7x}{7}=\frac{9-8y}{7}
Divide both sides by 7.
x=\frac{9-8y}{7}
Dividing by 7 undoes the multiplication by 7.
8y=9-7x
Subtract 7x from both sides.
\frac{8y}{8}=\frac{9-7x}{8}
Divide both sides by 8.
y=\frac{9-7x}{8}
Dividing by 8 undoes the multiplication by 8.