Let's fully simplify the given expression:

$9x + 4y + 2 + 3y - 2x$

Step 1: Combine like terms

• Combine the terms with $x$: $9x - 2x = 7x$

• Combine the terms with $y$: $4y + 3y = 7y$

• The constant $2$ remains unchanged.

Final simplified expression:

$7x + 7y + 2$

Would you like any additional details on the simplification process?

Here are five related questions to deepen your understanding:

1. How do we identify like terms in an algebraic expression?
2. Can you combine different variables, like $x$ and $y$, in any way?
3. What is the importance of constants in expressions?
4. How would you simplify an expression with three different variables?
5. Can you factor the expression $7x + 7y + 2$?

Tip: Always group and simplify like terms first before moving to more complex steps in algebraic expressions.