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The problem requires subtracting two polynomials:

\[
(7x^2 + 3x + 5) - (-3x^2 + 7x + y - 9)
\]

To solve this, we first distribute the subtraction across the terms in the second polynomial:

\[
7x^2 + 3x + 5 - (-3x^2) - (7x) - (y) - (-9)
\]

Simplifying the expression inside the parentheses gives:

\[
7x^2 + 3x + 5 + 3x^2 - 7x - y + 9
\]

Next, combine like terms:

- Combine \(7x^2\) and \(3x^2\): \(10x^2\)
- Combine \(3x\) and \(-7x\): \(-4x\)
- Combine the constants \(5\) and \(9\): \(14\)

Thus, the simplified expression is:

\[
10x^2 - 4x - y + 14
\]

Would you like further details or have any questions?

Here are some related questions:

1. How do you add polynomials?
2. What is the process for multiplying two polynomials?
3. How do you find the derivative of a polynomial?
4. What are the steps to factor a polynomial?
5. How do you solve polynomial equations?

**Tip:** When subtracting polynomials, remember to distribute the subtraction sign across each term of the polynomial being subtracted.

Learn how to subtract two polynomials: (7x^2 + 3x + 5) - (-3x^2 + 7x + y - 9). This solution involves distributing the subtraction and combining like terms, including the use of algebraic concepts such as the distributive property. Suitable for students in Grades 7-9.

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