Question

1. simplify the expression $2y - (3y - 4)$.

a. $y + 4$
b. $-y + 1$
c. $-y - 4$
d. $-y + 4$

Explanation:

Step1: Distribute the negative sign

To simplify \(2y - (3y - 4)\), we first distribute the negative sign to the terms inside the parentheses. This gives us \(2y - 3y + 4\) (because \(-(3y - 4)=-3y + 4\)).

Step2: Combine like terms

Now, we combine the like terms \(2y\) and \(-3y\). \(2y-3y=(2 - 3)y=-y\). So the expression becomes \(-y + 4\).

Answer:

d. \(-y + 4\)