I think the expression should read:
(6y2+y)/(2y2-9y+9)-(2y+9)/(2y2-9y+9)/(2y2-9y+9)-(4y-3)/(2y2-9y+9).
(I guess V should have been Ctrl+V key operation for paste and p should have been 9.)
The three fractions have a common denominator so the numerators can be added:
(6y2+y-(2y+9)-(4y-3))/(2y2-9y+9),
(6y2+y-2y-9-4y+3)/(2y2-9y+9),
(6y2-5y-6)/(2y2-9y+9),
(2y-3)(3y+2)/((2y-3)(y-3)),
(3y+2)/(y-3) provided y is not equal to 3/2 (=1½).
So the expression simplifies to (3y+2)/(y-3).