https://file.aiquickdraw.com/mathbot/file/1728461489961cynip6ru.jpg

The expression in the image is:

\[
-9y^2 + 3y
\]

This is a simplified polynomial expression. To solve or further simplify it, we can factor it if needed. The common factor between the terms is \(3y\), so we can factor that out:

\[
-9y^2 + 3y = 3y(-3y + 1)
\]

This is the factored form of the expression. Since there’s no equation (i.e., no "equals" sign), we can't solve for \(y\), but this is the most simplified form.

Would you like further details on factoring or have any questions about this process? Here are some related questions:

1. What are the steps to factor polynomials in general?
2. Can we solve this equation if it were set to zero?
3. What is the significance of the common factor in polynomial expressions?
4. How do we recognize quadratic expressions like this one?
5. How does factoring help in solving quadratic equations?

**Tip:** Always check for common factors first when simplifying or factoring polynomial expressions.

Learn how to factor the polynomial expression -9y^2 + 3y by identifying common factors. This problem focuses on key algebraic concepts such as factoring and polynomials, suitable for students in Grades 7-9.

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