(5y+4)+(−2y+6)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression: (5y+4) + (-2y+6)

This article will guide you through the process of simplifying the expression (5y+4) + (-2y+6).

Understanding the Concepts

Before we begin, let's review some key concepts:

• Combining Like Terms: We can only add or subtract terms that have the same variable and exponent. For example, we can combine 5y and -2y, but not 5y and 4.
• Distributive Property: When we have a plus sign outside parentheses, we can simply remove the parentheses.

Simplifying the Expression

1. Remove the Parentheses: Since we have a plus sign outside both sets of parentheses, we can simply remove them: (5y+4) + (-2y+6) = 5y + 4 - 2y + 6

2. Combine Like Terms: Identify the terms with the same variable and exponent (in this case, 'y'): 5y - 2y = 3y

   Now, combine the constant terms: 4 + 6 = 10

3. Write the Simplified Expression: Combining the results, we get the simplified expression: 3y + 10

Conclusion

By applying the rules of combining like terms and the distributive property, we have successfully simplified the expression (5y+4) + (-2y+6) to 3y + 10.