To simplify the expression $y = 2x^2 - 10x$, we can factor out the common factor:

1. Notice that both terms $2x^2$ and $-10x$ have a common factor of $2x$.
2. Factor $2x$ from the expression:

$y = 2x(x - 5)$

Thus, the simplified form is:

$y = 2x(x - 5)$

Would you like further details or have any questions?

Here are five related questions to expand on this concept:

1. What is the vertex of the parabola represented by $y = 2x^2 - 10x$?
2. How can we find the roots of $y = 2x^2 - 10x$ by setting $y = 0$?
3. What is the axis of symmetry for the parabola $y = 2x^2 - 10x$?
4. How does factoring help us understand the graph of a quadratic equation?
5. How would we complete the square to rewrite $y = 2x^2 - 10x$ in vertex form?

Tip: When simplifying expressions, always look for common factors as the first step. It often makes the simplification process easier and reveals more information about the equation.