To factor the expression \(-2y^2 + 2y = 0\), follow these steps:

1. **Find the greatest common factor (GCF):**  
   The GCF of \(-2y^2\) and \(2y\) is \(2y\).
   
2. **Factor out the GCF:**  
   \(-2y^2 + 2y = 2y(-y + 1)\).
   
Thus, the factored form of \(-2y^2 + 2y = 0\) is:

\[
2y(-y + 1) = 0
\]

If you want to solve the equation, you can set each factor equal to zero:

\[
2y = 0 \quad \text{or} \quad -y + 1 = 0
\]

This gives the solutions:

\[
y = 0 \quad \text{or} \quad y = 1
\]

Let me know if you'd like further details or have any questions.

Here are five related questions to deepen your understanding:
1. How do you solve a quadratic equation by factoring?
2. What is the GCF in polynomial factorization?
3. How can you check if the factored form is correct?
4. How would you factor a quadratic equation with a different coefficient for \(y^2\)?
5. How do you handle negative factors when factoring polynomials?

**Tip:** When factoring, always look for a common factor before applying other factoring methods!

Learn how to factor the quadratic equation -2y² + 2y = 0. This step-by-step guide covers key algebraic concepts like factoring using the greatest common factor (GCF) and applying the zero product property. Suitable for students in Grades 8-10.

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