To solve the expression \( 7x - 3(7y) + 2y \) when \( x = 8 \) and \( y = 4 \):

1. Substitute \( x = 8 \) and \( y = 4 \) into the expression:

\[
7(8) - 3(7(4)) + 2(4)
\]

2. Simplify each term:

- \( 7(8) = 56 \)
- \( 7(4) = 28 \), so \( 3(28) = 84 \)
- \( 2(4) = 8 \)

Now, the expression becomes:

\[
56 - 84 + 8
\]

3. Simplify the result:

\[
56 - 84 + 8 = -28 + 8 = -20
\]

So, the value of the expression is \( \boxed{-20} \).

Would you like further details or have any questions?

Here are 5 related questions to extend this concept:
1. How would the expression change if \( x = 10 \) and \( y = 5 \)?
2. What is the result if you remove the \( 2y \) term from the expression?
3. How does the expression change if the coefficient of \( x \) is reduced to 5?
4. What if \( y \) were a negative value, such as \( y = -3 \)?
5. How would the result change if the \( 3(7y) \) term were positive?

**Tip:** Always simplify inside parentheses first to avoid errors when solving expressions!

Learn how to solve the algebraic expression 7x - 3(7y) + 2y by substituting values x=8 and y=4. This problem covers key concepts in algebra, including simplification and substitution. Detailed steps are provided for students in Grades 6-8.

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