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5x=100+9y
Add 9y to both sides.
5x=9y+100
The equation is in standard form.
\frac{5x}{5}=\frac{9y+100}{5}
Divide both sides by 5.
x=\frac{9y+100}{5}
Dividing by 5 undoes the multiplication by 5.
x=\frac{9y}{5}+20
Divide 100+9y by 5.
-9y=100-5x
Subtract 5x from both sides.
\frac{-9y}{-9}=\frac{100-5x}{-9}
Divide both sides by -9.
y=\frac{100-5x}{-9}
Dividing by -9 undoes the multiplication by -9.
y=\frac{5x-100}{9}
Divide 100-5x by -9.