What is the coefficient of y in the expression 2xy + 3y - y?

• A. 2x + 3
• B. 3
• C. 1
• D. 2x + 1

Answer: (B)

To determine the coefficient of ( y ) in the expression ( 2xy + 3y - y ), it's important to first simplify the expression by combining like terms.

The terms ( 3y ) and ( -y ) are like terms since they both involve the variable ( y ). Combining them, we find:

[

3y - y = 2y

]

Next, we look at the entire expression after simplification, which is ( 2xy + 2y ). Here, the first term, ( 2xy ), includes ( y ) but with ( x ) as part of the term, so it does not contribute to the coefficient of ( y ) by itself. The second term ( 2y ) clearly shows that the coefficient of ( y ) is ( 2 ).

However, the expression was seeking the coefficient specifically associated with just ( y ), independent of other variable interactions. Focusing on the simplified form ( 2y ), the coefficient that remains is ( 2 ).

The reasoning leads us to identify that the only standalone term that contributes to the coefficient of ( y ) is the ( 2y )