Let's solve the expression \( 7x - 3(7y) + 2y \) when \( x = 3 \) and \( y = 2 \).

### Step-by-step solution:
1. **Substitute the values of \( x \) and \( y \) into the expression:**

   \[
   7(3) - 3(7(2)) + 2(2)
   \]

2. **Perform the multiplication:**
   - \( 7(3) = 21 \)
   - \( 7(2) = 14 \), then \( 3(14) = 42 \)
   - \( 2(2) = 4 \)

   So, the expression becomes:

   \[
   21 - 42 + 4
   \]

3. **Simplify the expression:**

   \[
   21 - 42 + 4 = -21 + 4 = -17
   \]

### Final answer: 
The value of the expression is \( -17 \).

Would you like further clarification on any step or more details?

Here are some related questions:
1. What happens if \( x \) and \( y \) take on negative values?
2. How does the distributive property affect the simplification process here?
3. Can you rearrange this equation to factor any terms?
4. What would happen if you used different variables for the coefficients?
5. How can this expression change if the exponents of \( x \) or \( y \) are increased?

**Tip**: Always follow the order of operations (PEMDAS) when simplifying expressions.

Learn how to solve the linear expression 7x - 3(7y) + 2y by substituting x = 3 and y = 2, using basic algebraic techniques such as simplification and the distributive property. Suitable for students in Grades 6-8.

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