-%2B-(-2y-%2B-4)-responses.jpeg "(5y - 1) + (-2y + 4) Responses")
Simplifying Algebraic Expressions: (5y - 1) + (-2y + 4)
This article will guide you through simplifying the algebraic expression (5y - 1) + (-2y + 4).
Understanding the Expression
The expression consists of two sets of parentheses:
- (5y - 1) : This is a binomial with a variable term (5y) and a constant term (-1).
- (-2y + 4) : This is another binomial with a variable term (-2y) and a constant term (4).
The plus sign (+) between the parentheses indicates that we need to add the two binomials together.
Simplifying the Expression
To simplify, we can follow these steps:
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Remove the parentheses: Since we are adding the binomials, the parentheses do not affect the signs of the terms inside. We can rewrite the expression as: 5y - 1 - 2y + 4
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Combine like terms: Identify terms with the same variable and terms without variables (constants).
- Variable terms: 5y - 2y = 3y
- Constant terms: -1 + 4 = 3
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Write the simplified expression: Combine the simplified terms: 3y + 3
Conclusion
The simplified form of the expression (5y - 1) + (-2y + 4) is 3y + 3. This process highlights how to combine like terms and remove parentheses in algebraic expressions.