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

To solve the equation 12(74y - (6+5y - 8z)), we need to simplify the expression first by applying the distributive property.

Step 1: Distribute the 12 to each term inside the parentheses.
12 * 74y = 888y
12 * (6 + 5y - 8z) = 72 + 60y - 96z

So, the equation becomes:
888y - (72 + 60y - 96z)

Step 2: Remove the parentheses by distributing the negative sign.
888y - 72 - 60y + 96z

Step 3: Combine like terms.
(888y - 60y) + (96z - 72)
828y + 96z - 72

Therefore, the simplified equation is 828y + 96z - 72.