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9x+16=10y
Add 10y to both sides. Anything plus zero gives itself.
9x=10y-16
Subtract 16 from both sides.
\frac{9x}{9}=\frac{10y-16}{9}
Divide both sides by 9.
x=\frac{10y-16}{9}
Dividing by 9 undoes the multiplication by 9.
-10y+16=-9x
Subtract 9x from both sides. Anything subtracted from zero gives its negation.
-10y=-9x-16
Subtract 16 from both sides.
\frac{-10y}{-10}=\frac{-9x-16}{-10}
Divide both sides by -10.
y=\frac{-9x-16}{-10}
Dividing by -10 undoes the multiplication by -10.
y=\frac{9x}{10}+\frac{8}{5}
Divide -9x-16 by -10.