Let's evaluate each expression step by step, substituting the given values $x = 21$, $y = 22$, and $z = 20$.

1. For $2x + 11$: $2(21) + 11 = 42 + 11 = 53$

2. For $(2z + y) - 5$: $(2(20) + 22) - 5 = (40 + 22) - 5 = 62 - 5 = 57$

3. For $(Y + z) - x$: $(22 + 20) - 21 = 42 - 21 = 21$

Results:

1. $2x + 11 = 53$
2. $(2z + y) - 5 = 57$
3. $(Y + z) - x = 21$

If you want more details on any step or have questions, let me know!

Additional Questions:

1. How do you evaluate expressions with variables in algebra?
2. What are the properties of addition and multiplication used here?
3. How would the results change if $x$, $y$, or $z$ were different?
4. Can you provide an example of a similar problem?
5. What strategies do you find helpful for solving equations with multiple variables?

Tip:

When substituting values in expressions, always double-check the arithmetic to avoid simple mistakes.