To solve the expression \( (12 - 9x) \times 9y \), follow these steps:

1. **Distribute the multiplication**: Multiply each term inside the parentheses by the \( 9y \) outside the parentheses.

\[
(12 - 9x) \times 9y = 12 \times 9y - 9x \times 9y
\]

2. **Perform the multiplication**:
   - \( 12 \times 9y = 108y \)
   - \( 9x \times 9y = 81xy \)

3. **Combine the terms**:

\[
108y - 81xy
\]

The simplified expression is:

\[
108y - 81xy
\]

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Would you like any more details or have any questions about this solution?

Here are some related questions you might find interesting:

1. How do you factor expressions like \( 108y - 81xy \)?
2. What is the distributive property, and how is it used in algebra?
3. How do you solve linear equations involving both \( x \) and \( y \)?
4. Can this expression be factored further?
5. What are common mistakes to avoid when simplifying algebraic expressions?

**Tip:** Always double-check each step of distribution to ensure accuracy, especially when dealing with variables and coefficients.

Learn how to simplify the algebraic expression (12 - 9x) × 9y with a step-by-step solution using the distributive property. This problem covers key algebraic concepts and is suitable for students in Grades 6-8.

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