Let's simplify the given expression step by step:

Given expression:
\[
-2 + 6y^3 - 2y^3 + 7 - 7 + 6x^2 - 2x^2
\]

1. **Combine like terms**:

   - Combine the \(y^3\) terms: \(6y^3 - 2y^3 = 4y^3\).
   - Combine the \(x^2\) terms: \(6x^2 - 2x^2 = 4x^2\).
   - Combine the constant terms: \(-2 + 7 - 7 = -2\).

2. **Simplified expression**:
\[
4y^3 + 4x^2 - 2
\]

So, the simplified expression is:
\[
4y^3 + 4x^2 - 2
\]

Would you like to explore more details or have any questions?

Here are 5 related questions to consider:
1. What is the process for identifying and combining like terms in an expression?
2. How would the expression change if the coefficients of \(x^2\) and \(y^3\) were altered?
3. Can the simplified expression be factored further?
4. What is the degree of the polynomial in the simplified expression?
5. How would this expression be graphed in a 3D coordinate system?

**Tip:** Always organize and combine like terms systematically to avoid mistakes when simplifying expressions.

Learn how to simplify the expression -2 + 6y^3 - 2y^3 + 7 - 7 + 6x^2 - 2x^2 with a step-by-step solution. This problem covers algebraic concepts such as polynomials and combining like terms. Suitable for students in Grades 7-9.

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