Let's simplify the expression \(-3(4x - y + 7)\).

1. Distribute the \(-3\) to each term inside the parentheses:

\[
-3 \times 4x = -12x
\]
\[
-3 \times (-y) = 3y
\]
\[
-3 \times 7 = -21
\]

So, the simplified expression is:

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

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. Simplify: \(5(2x + 3y - 4)\)
2. Factor: \(-12x + 3y - 21\)
3. Solve: \(4x - y + 7 = 0\) for \(y\).
4. Expand: \(2(x - 3) - 5(x + 1)\)
5. Distribute and simplify: \(-2(6x - y + 5)\)

**Tip:** When distributing a negative number, remember that both the sign and the number multiply each term inside the parentheses!

Learn how to simplify the algebraic expression -3(4x - y + 7) by applying the distributive property. This detailed solution covers essential algebraic concepts such as distribution and simplification. Suitable for students in Grades 6-8.

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