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
 Variable Terms: Terms containing a variable (in this case, 'y').
Simplifying the Expression

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

Combine Like Terms: Combine the coefficients of the like terms.
 5y  2y = 3y
 1 + 4 = 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.