What is the outcome when you combine terms in the expression -4y + y + 2?

What is the outcome when you combine terms in the expression -4y + y + 2?

• A. -3y + 2
• B. -5y + 2
• C. -4y + 2
• D. -3y + 5

Answer: (A)

To simplify the expression -4y + y + 2, you start by identifying and combining the like terms. The terms -4y and y are both coefficients of the variable y. When combining these, you perform the following calculation: -4y + y can be rewritten as: -4y + 1y = (-4 + 1)y = -3y. Next, you also have the constant term, which is +2. Since there are no other constant terms to combine with, it remains as +2. Putting this all together gives you: -3y + 2. Thus, the simplified expression is -3y + 2, which corresponds to the correct answer choice. This demonstrates a clear application of combining like terms, where only the coefficients of y are combined, while the constant term stands alone.

To simplify the expression -4y + y + 2, you start by identifying and combining the like terms. The terms -4y and y are both coefficients of the variable y.

When combining these, you perform the following calculation:

-4y + y can be rewritten as:

-4y + 1y = (-4 + 1)y = -3y.

Next, you also have the constant term, which is +2. Since there are no other constant terms to combine with, it remains as +2.

Putting this all together gives you:

-3y + 2.

Thus, the simplified expression is -3y + 2, which corresponds to the correct answer choice. This demonstrates a clear application of combining like terms, where only the coefficients of y are combined, while the constant term stands alone.