Question

Solve the following equation: $2y+\frac{5}{2}=\frac{37}{2}$

Answer 1

Solution of $2y+\frac{5}{2}=\frac{37}{2}$

Subtract $\frac{5}{2}$from both sides of the equation $2y+\frac{5}{2}=\frac{37}{2}$:

$$\begin{gathered} 2y+\frac{5}{2}-\frac{5}{2}=\frac{37}{2}-\frac{5}{2} \\ \Rightarrow 2y=\frac{37-5}{2} \\ \Rightarrow 2y=\frac{32}{2} \\ \Rightarrow 2y=16 \end{gathered}$$

Divide both sides by $2$:

$$\begin{gathered} \frac{2y}{2}=\frac{16}{2} \\ \Rightarrow y=8 \end{gathered}$$

Hence, the solution of $2y+\frac{5}{2}=\frac{37}{2}$ is $y=8$.