Math Problem Statement
Simplify the following expressions by combining like terms
8x + 7 - 8y + 6x - 8
What is the constant for the variable y after simplification
Solution
To simplify the expression , let's follow these steps:
Step 1: Group like terms
- Terms with : and
- Terms with :
- Constant terms: and
Step 2: Combine like terms
- Combine terms:
- The term with stays the same:
- Combine constant terms:
Final Expression
Combining all the simplified terms, we get:
Therefore, the constant for the variable after simplification is -8.
Would you like more details, or do you have any questions? Here are some related questions you might find interesting:
- What happens if a term doesn’t have a matching like term?
- How can you verify if your simplification is correct?
- What are the rules for adding and subtracting like terms?
- How can simplification help in solving equations?
- What is the significance of the coefficients in terms of variable dependency?
- How do you simplify expressions that include multiplication or division?
- How can you handle negative coefficients in simplification?
- Can you explain the distributive property in combining like terms?
Tip: Keep an eye on the signs of terms when combining like terms to ensure accuracy.
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Math Problem Analysis
Mathematical Concepts
Algebra
Combining Like Terms
Formulas
-
Theorems
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Suitable Grade Level
Grades 7-9