use the distributive law to multiply 8(2y+4z+5)

16y+8z+40

should be

16y + 32z + 40

To use the distributive law to multiply 8(2y+4z+5), we need to distribute the 8 to each term inside the parentheses.

Let's multiply 8 by each term separately, then combine the results:

First, multiply 8 by 2y:
8 * 2y = 16y

Next, multiply 8 by 4z:
8 * 4z = 32z

Finally, multiply 8 by 5:
8 * 5 = 40

Now that we have these individual results, we can combine them to get the final answer:

16y + 32z + 40

Therefore, 8(2y+4z+5) simplifies to 16y + 32z + 40.