Answer
9y$^3$-y$^2$+16y+14
Work Step by Step
Distribute the negative sign to the parentheses and then combine like terms vertically.
$\qquad4y^3+5y^2+7y+11$
$\underline{-(-5y^3+6y^2-9y-3)}$
$\qquad\qquad\downarrow$
$\quad4y^3+5y^2+7y+11$
$\underline{+\;5y^3-6y^2+9y+3}$
$\quad9y^3-y^2+16y+14$