https://file.aiquickdraw.com/mathbot/file/1726862181589b6q6tu12.jpg

Let's simplify the expression step by step:

The expression given is:

\[
4[6x - 3(y - 3)]
\]

### Step 1: Distribute the 3 within the parentheses \( (y - 3) \).
\[
= 4[6x - 3y + 9]
\]

### Step 2: Distribute the 4 to each term inside the brackets.
\[
= 4(6x) - 4(3y) + 4(9)
\]
\[
= 24x - 12y + 36
\]

Thus, the simplified expression is:
\[
24x - 12y + 36
\]

This matches the final expression in the image: \( 24x - 12y + 36 \).

Would you like more details, or do you have any questions?

Here are 5 related questions for further practice:
1. How do you apply the distributive property when multiple terms are inside parentheses?
2. Can you simplify \( 5[4x + 2(3y - 1)] \)?
3. What is the result if you simplify \( 3[2x - 4(y + 5)] \)?
4. How can you verify your answer when simplifying algebraic expressions?
5. What happens if there is a negative sign in front of the parentheses, such as \( -2[3x - 4(y - 1)] \)?

**Tip**: Always distribute carefully, watching for signs (positive or negative) in front of the terms to avoid mistakes.

Simplify the expression: 4[6x - 3(y - 3)] by using the distributive property and then combining like terms.

Learn how to simplify the expression 4[6x - 3(y - 3)] by applying the distributive property and combining like terms. This step-by-step guide is perfect for students in Grades 6-8 learning algebra.

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