Answer: The simplified expression is -80x - 336y.
Step-by-step explanation:
To simplify the expression -20(8x+12y)-8(12y-10x), we follow these steps:
1. Distribute the -20 to the terms inside the first set of parentheses:
-20 * 8x = -160x
-20 * 12y = -240y
2. Distribute the -8 to the terms inside the second set of parentheses:
-8 * 12y = -96y
-8 * -10x = 80x
3. Combine like terms:
-160x - 240y - 96y + 80x
4. Simplify by combining x-terms and y-terms separately:
(-160x + 80x) + (-240y - 96y)
-80x - 336y