Chapter 4.4, Problem 31PPS

To determine

To solve and check: the given equation

Answer to Problem 31PPS

The required solution is $y=-12$

Explanation of Solution

Given:

Calculation:

To solve equation and check the solution

  $-2\left(6y\right)=144$

  $-12y=144$

Divide both sides of equation by $-12$

  $\begin{array}{l}y=\frac{144}{-12}\\ y=-12\end{array}$

Solution:- $y=-12$

Check

Substitute $y=-12$ in $-2\left(6y\right)=144$

  $\begin{array}{l}-2\left(6\left(-12\right)\right)=144\\ -2\left(-72\right)=144\\ 144=144\end{array}$

Left hand side = Right hand side

Hence verified. So solution is $y=-12$

Conclusion:

The required solution is $y=-12$