Answer
5y$^3$+5y-19
Work Step by Step
Distribute the negative sign to the parentheses and then combine like terms.
(5y$^3$+y$^2$-3y-8)-(y$^2$-8y+11)
5y$^3$+y$^2$-3y-8-y$^2$+8y-11
(5y$^3$)+(y$^2$-y$^2$)+(-3y+8y)+(-8-11)
5y$^3$+0+5y-19
5y$^3$+5y-19