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9x=-10y
Subtract 10y from both sides. Anything subtracted from zero gives its negation.
\frac{9x}{9}=-\frac{10y}{9}
Divide both sides by 9.
x=-\frac{10y}{9}
Dividing by 9 undoes the multiplication by 9.
10y=-9x
Subtract 9x from both sides. Anything subtracted from zero gives its negation.
\frac{10y}{10}=-\frac{9x}{10}
Divide both sides by 10.
y=-\frac{9x}{10}
Dividing by 10 undoes the multiplication by 10.