Simplify (8x+3z-8z^2)+(4y-5z)

$(8 x + 3 z - 8 z^{2}) + (4 y - 5 z)$

Remove parentheses.

$8 x + 3 z - 8 z^{2} + 4 y - 5 z$

Subtract $5 z$ from $3 z$ .

$8 x - 8 z^{2} + 4 y - 2 z$

Reorder $8 x$ and $- 8 z^{2}$ .

$- 8 z^{2} + 8 x + 4 y - 2 z$