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To solve this, we need to determine the coefficient of \( y \) in the expression \( -11x^2y \).

In this case, \( -11x^2y \) can be broken down as follows:
- \( -11 \) is a constant.
- \( x^2 \) is the variable \( x \) squared.
- \( y \) is the variable we are interested in.

The **coefficient** of a variable is the numerical factor that multiplies the variable. Since \( y \) is being multiplied by \( -11x^2 \), the coefficient of \( y \) is **\( -11x^2 \)**. This includes both the constant \( -11 \) and the \( x^2 \) term.

Now, let’s analyze the answer choices:

- **A.** Incorrect. This says the coefficient is only \( -11 \), but the correct coefficient includes \( x^2 \) as well.
- **B.** Incorrect. This suggests that the coefficient is \( x^2 \), which ignores the constant \( -11 \).
- **C.** Incorrect. This option is incomplete and incorrectly describes the relationship between \( y \) and the other factors.
- **D.** **Correct**. This explains correctly that the coefficient is \( -11x^2 \), since \( y \) is multiplied by \( -11x^2 \).

The correct answer is **D**.

Would you like more details or have any questions?

Here are five related questions for further exploration:
1. What is a coefficient in algebraic expressions?
2. How does the order of variables affect an algebraic expression?
3. Can a coefficient be a term with variables, like \( x^2 \)?
4. How do you factor expressions with multiple variables?
5. How would the coefficient change if the expression were \( 5x^3y \)?

**Tip:** The coefficient of a variable includes all the constants and other variables multiplied by it, but not the variable itself.

Explain what the coefficient of y is in -11x^2y.

Learn how to identify the coefficient of y in the expression -11x^2y. This problem covers algebraic concepts such as variables, coefficients, and expressions. Suitable for students in Grades 7-9.

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