Let's simplify the given expression:

$-3 + 5y^2 - (-3) - 7y^2 + 6y$

Step 1: Remove the parentheses. $-3 + 5y^2 + 3 - 7y^2 + 6y$

Step 2: Combine like terms.

• Constant terms: $-3 + 3 = 0$
• $y^2$ terms: $5y^2 - 7y^2 = -2y^2$
• $y$ term: $6y$

So, the simplified expression is:

$-2y^2 + 6y$

Would you like any further clarification or details?

Here are 5 related questions:

1. How do you factor a quadratic expression like $-2y^2 + 6y$?
2. What is the general method for simplifying polynomials?
3. How do you solve quadratic equations using factoring?
4. Can you explain the properties of exponents when simplifying expressions?
5. What are some strategies to simplify expressions with multiple terms?

Tip: Always combine like terms (terms with the same variable and exponent) to simplify an expression!