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5x=45+10y
Add 10y to both sides.
5x=10y+45
The equation is in standard form.
\frac{5x}{5}=\frac{10y+45}{5}
Divide both sides by 5.
x=\frac{10y+45}{5}
Dividing by 5 undoes the multiplication by 5.
x=2y+9
Divide 45+10y by 5.
-10y=45-5x
Subtract 5x from both sides.
\frac{-10y}{-10}=\frac{45-5x}{-10}
Divide both sides by -10.
y=\frac{45-5x}{-10}
Dividing by -10 undoes the multiplication by -10.
y=\frac{x-9}{2}
Divide 45-5x by -10.