4(5y+2z)+8z−4(5z−2y)

Sure, let's solve this step by step:

1. Distribute the 4 in the first term and -4 in the last term: 45y + 42z + 8z - 45z + 42y

2. Simplify that to: 20y + 8z + 8z - 20z + 8y

3. Combine like terms: (20y + 8y) + (8z + 8z - 20z)

4. Simplify that to: 28y - 4z

So, 4(5y+2z)+8z−4(5z−2y) simplifies to 28y - 4z.