Chapter 4.3, Problem 7MRE

To determine

To simplify the equation

  $4\left(y+3\right)=3y$

Answer to Problem 7MRE

  $y=-12$

Explanation of Solution

Given:

  $4\left(y+3\right)=3y$

Concept Used:

• If a, b and c are three non zero real numbers ,then
$a\left(b+c\right)=ab+ac$
• Any value if added, subtracted, multiplied or divided on the left hand side of the equation, then it should also be added or subtracted on right hand side so that the equation is balanced.

Calculation:

To simplify the equation

  $4\left(y+3\right)=3y$

First simplify the left hand side of the equation as,

  $\begin{array}{l}4\left(y+3\right)=3y\\ \Rightarrow 4\left(y\right)+4\left(3\right)=3y\\ \Rightarrow 4y+12=3y\end{array}$

Now subtract the above equation by $3y$ on both sides as,

  $\begin{array}{l}4y+12-3y=3y-3y\\ \Rightarrow 4y-3y+12=0\\ \Rightarrow y+12=0\\ \Rightarrow y=-12\end{array}$

Thus, the simplified equation becomes

  $y=-12$