12(74y - (6+5Y - 8Z) = Please show work

To solve the equation 12(74y - (6+5y - 8z)), we need to apply the distributive property and simplify the expression step by step. Here's the solution:

1. Distribute the 12 to the terms inside the parentheses:
12 * 74y - 12 * (6 + 5y - 8z)

2. Simplify within the parentheses:
888y - 12 * (6 + 5y - 8z)

3. Apply the distributive property again to the second set of parentheses:
888y - (12 * 6 + 12 * 5y - 12 * 8z)

4. Simplify within the second set of parentheses:
888y - (72 + 60y - 96z)

5. Distribute the negative sign to every term inside the second set of parentheses:
888y - 72 - 60y + 96z

6. Combine like terms:
(888y - 60y) + 96z - 72

7. Simplify further:
828y + 96z - 72

So, the simplified form of the equation 12(74y - (6+5y - 8z)) is 828y + 96z - 72.