The solution of the equation
Question:

The solution of the equation 2y = 5y-185 is————.

Solution:

$\frac{6}{5}$

Given, $2 y=5 y-\frac{18}{5}$

$\Rightarrow$ $2 y-5 y=\frac{-18}{5}$ [transposing 5yto LHS]

$\Rightarrow$ $-3 y=-\frac{18}{5}$

$\Rightarrow$ $\frac{-3 y}{-3}=\frac{-18}{-3 \times 5}$ [dividing both sides by $-3$ ]

$\therefore$ $y=\frac{6}{5}$

Hence, the solution of the given equation is $\frac{6}{5}$.