Answer
5y$^6$-2y$^3$+3y$^2$
Work Step by Step
Distribute the negative to the parentheses and then combine like terms vertically.
$\quad5y^6-3y^3+2y^2$
$\underline{-(\qquad-\;y^3-y^2-y-1)}$
$\qquad\qquad\quad\downarrow$
$5y^6-3y^3+2y^2$
$\underline{\qquad+\;y^3+y^2+y+1)}$
$5y^6-2y^3+3y^2+y+1$