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9x=10+3y
Add 3y to both sides.
9x=3y+10
The equation is in standard form.
\frac{9x}{9}=\frac{3y+10}{9}
Divide both sides by 9.
x=\frac{3y+10}{9}
Dividing by 9 undoes the multiplication by 9.
x=\frac{y}{3}+\frac{10}{9}
Divide 10+3y by 9.
-3y=10-9x
Subtract 9x from both sides.
\frac{-3y}{-3}=\frac{10-9x}{-3}
Divide both sides by -3.
y=\frac{10-9x}{-3}
Dividing by -3 undoes the multiplication by -3.
y=3x-\frac{10}{3}
Divide 10-9x by -3.