What is the result of combining the terms: 4y - 2y + y?

What is the result of combining the terms: 4y - 2y + y?

• A. 2y
• B. 3y
• C. 1y
• D. 5y

Answer: (B)

To combine the terms 4y - 2y + y, you start by identifying and grouping the like terms, which in this case are all terms that include the variable 'y'. First, you can rewrite the expression in a way that makes it easier to see the combination: 4y - 2y + 1y. Now, combine the coefficients of 'y': 1. Start with 4 (from 4y). 2. Subtract 2 (from -2y), which results in 2. 3. Finally, add 1 (from y, which can be interpreted as 1y). So, you have: 2 (from 4y - 2y) + 1, which gives you a total of 3. Thus, the combined expression simplifies to 3y. This demonstrates the principle of combining like terms, where you're simply adding and subtracting the coefficients of terms that have the same base variable. The final, simplified version is 3y, confirming that this is indeed the correct answer.

To combine the terms 4y - 2y + y, you start by identifying and grouping the like terms, which in this case are all terms that include the variable 'y'.

First, you can rewrite the expression in a way that makes it easier to see the combination:

4y - 2y + 1y.

Now, combine the coefficients of 'y':

1. Start with 4 (from 4y).

2. Subtract 2 (from -2y), which results in 2.

3. Finally, add 1 (from y, which can be interpreted as 1y).

So, you have:

2 (from 4y - 2y) + 1, which gives you a total of 3.

Thus, the combined expression simplifies to 3y. This demonstrates the principle of combining like terms, where you're simply adding and subtracting the coefficients of terms that have the same base variable. The final, simplified version is 3y, confirming that this is indeed the correct answer.