Simplify 7z^4-5+10(y^3+5)

$7 z^{4} - 5 + 10 (y^{3} + 5)$

Simplify each term.

Apply the distributive property.

$7 z^{4} - 5 + 10 y^{3} + 10 \cdot 5$

Multiply $10$ by $5$ .

$7 z^{4} - 5 + 10 y^{3} + 50$

Add $- 5$ and $50$ .

$7 z^{4} + 10 y^{3} + 45$