What is the simplified form of 8y + 3 - 2y?

What is the simplified form of 8y + 3 - 2y?

• A. 6y + 3
• B. 10y - 3
• C. 7y + 3
• D. 8y + 5

Answer: (A)

To simplify the expression 8y + 3 - 2y, start by identifying and combining the like terms. The like terms in this case involve the terms that contain the variable \(y\), which are \(8y\) and \(-2y\). 1. Combine the coefficients of the like terms: - You have \(8y\) and \(-2y\). - When you combine these, you perform the calculation \(8 - 2\), which equals \(6\). 2. After combining, you have \(6y\). 3. The constant term in the original expression is \(3\), and since there are no other constant terms to combine it with, it remains the same. 4. Therefore, when you put it all together, you get \(6y + 3\). This process demonstrates how to effectively combine like terms, arriving at the correct simplified form of the expression, which is \(6y + 3\).

To simplify the expression 8y + 3 - 2y, start by identifying and combining the like terms. The like terms in this case involve the terms that contain the variable (y), which are (8y) and (-2y).

1. Combine the coefficients of the like terms:

• You have (8y) and (-2y).

• When you combine these, you perform the calculation (8 - 2), which equals (6).

2. After combining, you have (6y).

3. The constant term in the original expression is (3), and since there are no other constant terms to combine it with, it remains the same.

4. Therefore, when you put it all together, you get (6y + 3).

This process demonstrates how to effectively combine like terms, arriving at the correct simplified form of the expression, which is (6y + 3).