Let's simplify the given expression:

The expression is: $x^2 + 5y - 3x^2 - 2y$

Step 1: Combine like terms

• For the $x^2$ terms: $x^2 - 3x^2 = -2x^2$
• For the $y$ terms: $5y - 2y = 3y$

Final Simplified Expression:

$-2x^2 + 3y$

Would you like me to explain further or verify any details?

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Related Questions:

1. What is the difference between combining like terms and factoring?
2. How would you solve an equation involving similar terms, such as $x^2 + 5y = 3x^2 + 2y$?
3. Can this simplified expression be factored further? If so, how?
4. How do the coefficients of $x^2$ and $y$ influence the graph of this expression?
5. How can such expressions be used in solving real-world problems?

Tip:

When simplifying, always identify and group like terms carefully to avoid errors.