Let's simplify the given expression:

\[
3x - 4y - 7x + 2y
\]

1. Combine the like terms:
   - Combine the \( x \)-terms: \( 3x - 7x = -4x \)
   - Combine the \( y \)-terms: \( -4y + 2y = -2y \)

Thus, the simplified expression is:

\[
-4x - 2y
\]

Would you like further details on the steps? Here are some related questions:

1. How do you combine like terms in algebraic expressions?
2. Can we factor out common terms from \( -4x - 2y \)?
3. What are the applications of simplifying expressions like this?
4. How do you handle expressions with more variables?
5. Can you simplify an expression with more than two variables?

**Tip:** Always group like terms (terms with the same variable) when simplifying expressions!

Simplify the algebraic expression 3x - 4y - 7x + 2y by combining like terms. This problem involves basic algebraic concepts such as simplifying expressions and using the associative and distributive properties. Perfect for students in Grades 6-8.

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