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9x=5z-8y
Subtract 8y from both sides.
\frac{9x}{9}=\frac{5z-8y}{9}
Divide both sides by 9.
x=\frac{5z-8y}{9}
Dividing by 9 undoes the multiplication by 9.
8y=5z-9x
Subtract 9x from both sides.
\frac{8y}{8}=\frac{5z-9x}{8}
Divide both sides by 8.
y=\frac{5z-9x}{8}
Dividing by 8 undoes the multiplication by 8.