Chapter 4.3, Problem 12MRE

To determine

To simplify the equation

  $\frac{y}{2}-1=3$

Answer to Problem 12MRE

  $y=8$

Explanation of Solution

Given:

  $\frac{y}{2}-1=3$

Concept Used:

• In an equation, like terms are added or subtracted with each other.
• 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

  $\frac{y}{2}-1=3$

First add each side of the equation by $1$ as,

  $\begin{array}{l}\frac{y}{2}-1+1=3+1\\ \Rightarrow \frac{y}{2}=4\end{array}$

Now, multiply both sides of the above equation by $2$ as,

  $\begin{array}{l}2\left(\frac{y}{2}\right)=2\left(4\right)\\ \Rightarrow \frac{2y}{2}=8\\ \Rightarrow y=8\end{array}$

Thus, the simplified equation becomes

  $y=8$