Question

5(2y - 4) - 3(2y + 5x) + 8

Explanation:

Step1: Expand all parentheses

$5(2y-4) - 3(2y+5x) + 8 = 10y - 20 - 6y - 15x + 8$

Step2: Combine like terms for $y$

$10y - 6y = 4y$, so expression becomes $4y - 20 - 15x + 8$

Step3: Combine constant terms

$-20 + 8 = -12$, so expression becomes $4y - 15x - 12$

Step4: Rearrange terms (standard order)

$-15x + 4y - 12$

Answer:

$-15x + 4y - 12$