Chapter 2.3, Problem 13P

Solve each equation. Check your answer.

$3(4y-8)=12$

To determine

To find: The simplified form of the equation $3\left(4y-8\right)=12$ and check the answer.

Answer to Problem 13P

The simplified form of the equation $3\left(4y-8\right)=12$ is $y=3$ .

Explanation of Solution

Given:

The equation is $3\left(4y-8\right)=12$ .

Calculation:

Simplify the equation $3\left(4y-8\right)=12$ as follows:

  $\begin{array}{c}3\left(4y-8\right)=12\\ 12y-24=12\\ 12y=36\\ y=3\end{array}$

Check answer as follows:

  $\begin{array}{c}3\left(4\left(3\right)-8\right)=12\\ 3\left(4\right)=12\\ 12=12\end{array}$

Thus, the simplified form of the equation $3\left(4y-8\right)=12$ is $y=3$ .