Let's simplify the given expression step-by-step:
Given expression:
[tex]\[
4x - 5y + 2z + y - 2x + z
\][/tex]
Step 1: Combine the like terms for \(x\):
- We have \(4x\) and \(-2x\).
- Combining these terms:
[tex]\[
4x - 2x = 2x
\][/tex]
Step 2: Combine the like terms for \(y\):
- We have \(-5y\) and \(+y\).
- Combining these terms:
[tex]\[
-5y + y = -4y
\][/tex]
Step 3: Combine the like terms for \(z\):
- We have \(2z\) and \(+z\).
- Combining these terms:
[tex]\[
2z + z = 3z
\][/tex]
Therefore, after combining all the like terms, the simplified expression is:
[tex]\[
2x - 4y + 3z
\][/tex]
So, the correct answer is:
[tex]\[
2x - 4y + 3z
\][/tex]
Thus, among the given options, the correct one is:
[tex]\[
\boxed{2x - 4y + 3z}
\][/tex]
