Question

How to solve $2y+\frac{5}{2}=\frac{37}{2}$?

Answer 1

Compute the required value:

Given: $2y+\frac{5}{2}=\frac{37}{2}$

Subtract $\frac{5}{2}$from both sides and multiply the equation by $2$.
$$\begin{gathered} 2y+\frac{5}{2}-\frac{5}{2}=\frac{37}{2}-\frac{5}{2} \\ \Rightarrow 2y=\frac{\left(37-5\right)}{2} \\ \Rightarrow 2y=\frac{32}{2} \\ \Rightarrow 2\left(2y\right)=2\left(\frac{32}{2}\right) \\ \Rightarrow 4y=32 \end{gathered}$$
Divide by $4$ and simplify.
$$\begin{gathered} \Rightarrow \frac{4y}{4}=\frac{32}{4} \\ \Rightarrow y=8 \end{gathered}$$

Hence, the value of $y$ is $8$.