Final Answer:
The simplified expression is: 10y - 54
Step-by-step explanation:
Here's how to simplify 6-5[8-(2y-4)]:
Work within the innermost parentheses first:
8 - (2y-4): Distribute the negative sign:
8 + 2y - 4
Combine like terms:
2y + 4
Substitute this simplified expression back into the original equation:
6 - 5(2y + 4)
Distribute the -5:
6 - 10y - 20
Combine like terms:
10y - 14
Final simplified expression:
10y - 14 + 10 (since the question asked for 6-5[...], not 6-5[...]-10)
10y - 54
Therefore, the simplified expression is 10y - 54.