Simplify \(2x+3y+-107x\) to \(2x+3y-107x\).
\[2x+3y-107x=-10y+9\]
Simplify \(2x+3y-107x\) to \(-105x+3y\).
\[-105x+3y=-10y+9\]
Factor out the common term \(3\).
\[-3(35x-y)=-10y+9\]
Divide both sides by \(-3\).
\[35x-y=-\frac{-10y+9}{3}\]
Add \(y\) to both sides.
\[35x=-\frac{-10y+9}{3}+y\]
Divide both sides by \(35\).
\[x=\frac{-\frac{-10y+9}{3}+y}{35}\]
Simplify \(\frac{-\frac{-10y+9}{3}+y}{35}\) to \(-\frac{\frac{-10y+9}{3}}{35}+\frac{y}{35}\).
\[x=-\frac{\frac{-10y+9}{3}}{35}+\frac{y}{35}\]
Simplify \(\frac{\frac{-10y+9}{3}}{35}\) to \(\frac{-10y+9}{3\times 35}\).
\[x=-\frac{-10y+9}{3\times 35}+\frac{y}{35}\]
Simplify \(3\times 35\) to \(105\).
\[x=-\frac{-10y+9}{105}+\frac{y}{35}\]
x=-(-10*y+9)/105+y/35
