To simplify the expression \( 3(4x - y + 7) \), we need to distribute the 3 across each term inside the parentheses:

\[
3(4x - y + 7) = 3 \times 4x - 3 \times y + 3 \times 7
\]

Now, perform the multiplication:

\[
= 12x - 3y + 21
\]

So, the simplified expression is:

\[
12x - 3y + 21
\]

Would you like further details on the distribution process or have any other questions?

Here are 5 related questions to practice:
1. Simplify \( 2(5a + 3b - 4) \).
2. Expand \( 6(3x - 2y + 1) \).
3. Factor out the greatest common factor in \( 15x - 9y + 6 \).
4. Simplify \( 4(2x + y - 3) + 5x \).
5. Solve for \( x \) in the equation \( 3(2x - 1) = 9 \).

**Tip:** When distributing, make sure to multiply each term inside the parentheses by the factor outside.

Simplify the algebraic expression 3(4x - y + 7) using the distributive property. This problem demonstrates key algebraic concepts, including the application of the distributive property and simplification of expressions. Suitable for students in Grades 6-8.

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