Question

1. what is the simplified form of $2y + 3(y - 2) + 4$?

a. $5y + 2$

b. $5y + 5$

c. $5y - 5$

d. $5y - 2$

Explanation:

Step1: Expand the bracket

First, we expand \(3(y - 2)\) using the distributive property \(a(b - c)=ab - ac\). So, \(3(y - 2)=3y-6\). The expression becomes \(2y + 3y-6 + 4\).

Step2: Combine like terms

Now, combine the \(y\)-terms: \(2y+3y = 5y\). Then combine the constant terms: \(-6 + 4=-2\). So the simplified form is \(5y - 2\).

Answer:

d. \(5y - 2\)