Question
The solution of the equation $2\text{y}=5\text{y}-\frac{18}{5}$ is _______.

Answer

The solution of the equation $2\text{y}=5\text{y}-\frac{18}{5}$ is $\frac{6}{5}$

Solution:

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

$2\text{y} - 5\text{y} =-\frac{18}{5}$

$-3\text{y} =-\frac{18}{5}$

$-\frac{3\text{y}}{-3}=\frac{18}{-3\times5}$

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

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

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