https://file.aiquickdraw.com/mathbot/file/17266129842764b9g5621.jpg

The image you uploaded contains the following expression to simplify:

\[
-2y + 2x^2 + 5x^2 - 5x^2 - y - 5y
\]

### Steps to Simplify:
1. Combine like terms for \( y \):
   \[
   -2y - y - 5y = -8y
   \]
2. Combine like terms for \( x^2 \):
   \[
   2x^2 + 5x^2 - 5x^2 = 2x^2
   \]

### Final simplified expression:
\[
-8y + 2x^2
\]

Thus, the correct answer is:
\[
\boxed{-8y + 2x^2}
\]

Let me know if you'd like further clarification or more details. Here are some related questions to expand your understanding:

1. How do you identify like terms in an algebraic expression?
2. Why do we combine terms with the same variables in algebraic expressions?
3. Can this simplification process be applied to more complex expressions with higher powers?
4. What happens if there are coefficients with variables of different powers?
5. How does the order of terms (e.g., \(x^2\) before \(y\)) affect the final expression?

**Tip**: Always group similar terms together when simplifying expressions to avoid errors.

-2y + 2x^2 + 5x^2 - 5x^2 - y - 5y: Simplify the expression.

Learn how to simplify the algebraic expression -2y + 2x^2 + 5x^2 - 5x^2 - y - 5y by combining like terms. This problem covers key algebraic concepts for Grades 7-9 and provides a step-by-step breakdown of the solution process.

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