Question

Solve: $5(3+\mathrm{y})=2\mathrm{y}$

Answer 1

Given equation: $5(3+\mathrm{y})=2\mathrm{y}$

On simplifying the given equation, we get;

$\Rightarrow 15+5\mathrm{y}=2\mathrm{y}$

Transposing $5\mathrm{y}$ to the R.H.S. (right hand side) of the equation,

$$\begin{gathered} \Rightarrow 15=2\mathrm{y}-5\mathrm{y} \\ \Rightarrow 15=-3\mathrm{y} \\ \Rightarrow \frac{{\displaystyle \stackrel{5}{\cancel{15}}}}{\cancel{3}}=\mathrm{y} \\ \Rightarrow \mathrm{y}=-5 \end{gathered}$$

Hence,$\mathrm{y}=-5$ is the solution of the given equation.