(5y - 1) + (-2y + 4)

Jasonbradley

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Jun 16, 2024

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Simplifying Expressions: (5y - 1) + (-2y + 4)

This article will guide you through the process of simplifying the expression (5y - 1) + (-2y + 4).

Understanding the Expression

The expression (5y - 1) + (-2y + 4) is a combination of terms involving variables and constants.

• Terms: Individual parts of the expression separated by addition or subtraction signs.
  • Variable Terms: Terms containing a variable (in this case, 'y').
    • 5y and -2y
  • Constant Terms: Terms without a variable.
    • -1 and 4

Simplifying the Expression

1. Identify Like Terms: Look for terms with the same variable and exponent. In our expression, the like terms are:

   • 5y and -2y
   • -1 and 4

2. Combine Like Terms: Combine the coefficients of the like terms.

   • 5y - 2y = 3y
   • -1 + 4 = 3

3. Write the Simplified Expression: Combine the simplified terms.

   • (5y - 1) + (-2y + 4) = 3y + 3

Conclusion

Therefore, the simplified form of the expression (5y - 1) + (-2y + 4) is 3y + 3. This process of combining like terms is a fundamental skill in algebra. It allows us to simplify expressions and make them easier to work with.