Question

2y+5/3=26/3-y please tell me​

Answer 1

Answer:

The solution of the given equation is

$\displaystyle{\boxed{\red{\sf\:y\:=\:\dfrac{7}{3}}}}$

Step-by-step-explanation:

The given equation is

$\displaystyle{\sf\:2y\:+\:\dfrac{5}{3}\:=\:\dfrac{26}{3}\:-\:y}$

We have to find the value of y.

Now,

$\displaystyle{\sf\:2y\:+\:\dfrac{5}{3}\:=\:\dfrac{26}{3}\:-\:y}$

$\displaystyle{\implies\sf\:\dfrac{2y\:\times\:3\:+\:5}{\cancel{3}}\:=\:\dfrac{26\:-\:3y}{\cancel{3}}}$

$\displaystyle{\implies\sf\:6y\:+\:5\:=\:26\:-\:3y}$

$\displaystyle{\implies\sf\:6y\:+\:3y\:=\:26\:-\:5}$

$\displaystyle{\implies\sf\:9y\:=\:21}$

$\displaystyle{\implies\sf\:y\:=\:\cancel{\dfrac{21}{9}}}$

$\displaystyle{\implies\underline{\boxed{\red{\sf\:y\:=\:\dfrac{7}{3}}}}}$