Question

simplify the expression.
2(3 + 4y + 5) =

Explanation:

Step1: Combine like terms inside the parentheses

First, we combine the constant terms \(3\) and \(5\) inside the parentheses. So, \(3 + 5=8\). The expression inside the parentheses becomes \(8 + 4y\). Now the expression is \(2(8 + 4y)\).

Step2: Apply the distributive property

The distributive property states that \(a(b + c)=ab+ac\). Here, \(a = 2\), \(b = 8\), and \(c = 4y\). So we multiply \(2\) by each term inside the parentheses: \(2\times8+2\times4y\). Calculating these products, we get \(16 + 8y\).

Answer:

\(16 + 8y\)