Question

4, left parenthesis, 5, y, plus, 2, z, right parenthesis, plus, 8, z, minus, 4, left parenthesis, 5, z, minus, 2, y, right parenthesis4(5y+2z)+8z−4(5z−2y)

Answer 1

Let's simplify the expression step-by-step:

1. Distribute the constants in front of the parentheses:
\[
4(5y + 2z) = 20y + 8z
\]
\[
-4(5z - 2y) = -20z + 8y
\]

2. Now, combine all the terms together into one expression:
\[
20y + 8z + 8z - 20z + 8y
\]

3. Combine like terms:
- Combine the \(y\) terms:
\[
20y + 8y = 28y
\]
- Combine the \(z\) terms:
\[
8z + 8z - 20z = 16z - 20z = -12z
\]

4. So, putting it all together, we have:
\[
28y - 12z
\]

Thus, the simplified expression is:
\[
\boxed{28y - 12z}
\]