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10x=8-9y
Subtract 9y from both sides.
\frac{10x}{10}=\frac{8-9y}{10}
Divide both sides by 10.
x=\frac{8-9y}{10}
Dividing by 10 undoes the multiplication by 10.
x=-\frac{9y}{10}+\frac{4}{5}
Divide 8-9y by 10.
9y=8-10x
Subtract 10x from both sides.
\frac{9y}{9}=\frac{8-10x}{9}
Divide both sides by 9.
y=\frac{8-10x}{9}
Dividing by 9 undoes the multiplication by 9.