The given expression is:

$X - (2y + 3X) - 2y$

Let's simplify it step by step.

1. Distribute the negative sign inside the parentheses:

$X - 2y - 3X - 2y$

2. Now, combine like terms:

• For the terms with $X$: $X - 3X = -2X$
• For the terms with $y$: $-2y - 2y = -4y$

So, the simplified expression is:

$-2X - 4y$

Would you like more details or explanations on any step?

Here are 5 related questions you might find useful:

1. How would you simplify $3X - (4X + 5y) + 2y$?
2. Can you factor $2X + 4y$ from the simplified expression?
3. How do you simplify expressions with multiple variables?
4. What happens if there are powers of $X$ and $y$ in the expression?
5. How can you simplify $5a - (3b + 4a) - 6b$?

Tip: Always distribute negative signs or factors properly when simplifying algebraic expressions.