https://file.aiquickdraw.com/mathbot/file/1725559078710hogrkv0i.jpg

The image contains two algebraic expressions that need to be simplified by combining like terms.

The expressions are:
1. \(-5 - 3 - 4 + 3x + 5y\)
2. \(-8 + 4 + 3x + 5y\)

### Steps to simplify:

1. **Group the like terms** from both expressions:
   - Combine constants: \((-5 - 3 - 4)\) and \((-8 + 4)\)
   - Combine the terms with \(x\): \((+3x + 3x)\)
   - Combine the terms with \(y\): \((+5y + 5y)\)

2. **Simplify each group**:
   - Constants: \(-5 - 3 - 4 = -12\) and \(-8 + 4 = -4\)
   - \(x\)-terms: \(3x + 3x = 6x\)
   - \(y\)-terms: \(5y + 5y = 10y\)

3. **Result after combining**:
   \[-12 - 4 + 6x + 10y\]

4. **Final simplified result**:
   \(-16 + 6x + 10y\)

The simplified expression is: \(\boxed{-16 + 6x + 10y}\).

Would you like more details or have any questions?

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Here are 5 related questions:
1. How do you combine like terms with variables?
2. Can constants be combined with variables?
3. What happens if you have more than two terms with the same variable?
4. What are the steps for simplifying polynomials with multiple variables?
5. How does distributive property relate to combining like terms?

**Tip**: Always organize your terms by variable and degree before simplifying to avoid errors.

Simplify the expressions -5 - 3 - 4 + 3x + 5y and -8 + 4 + 3x + 5y by combining like terms.

Learn how to simplify the algebraic expressions -5 - 3 - 4 + 3x + 5y and -8 + 4 + 3x + 5y by combining like terms. This step-by-step guide breaks down the process of grouping constants, x-terms, and y-terms to find the simplified result. Ideal for students in Grades 7-9 studying algebra.

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