[tex] \frac{2y^{2} -7y-15}{3y^{2} -8y-3} * \frac{9y^{2}-1}{4y^{2} -9} +\frac{y^{2}+3y-10}{2y^{2}-9y+9}=\\
\frac{(y-5)(2y+3)}{(3y+1)(y-3)} * \frac{(3y-1)(3y+1)}{(2y-3)(2y+3)} +\frac{(y-2)(y+5)}{(2y-3)(y-3)}=\\
\frac{(y-5)(2y+3)}{(y-3)} * \frac{(3y-1)}{(2y-3)(2y+3)} +\frac{(y-2)(y+5)}{(2y-3)(y-3)}=\\
\frac{(y-5)}{(y-3)} * \frac{(3y-1)}{(2y-3)} +\frac{(y-2)(y+5)}{(2y-3)(y-3)}=\\
\frac{(y-5)(3y-1)}{(y-3)(2y-3)} +\frac{(y-2)(y+5)}{(2y-3)(y-3)}=[/tex]
[tex]\frac{(y-5)(3y-1)}{(y-3)(2y-3)} +\frac{(y-2)(y+5)}{(y-3)(2y-3)}=\\
\frac{(y-5)(3y-1)+(y-2)(y+5)}{(y-3)(2y-3)}[/tex]
