Answer:
[tex]y = \frac{66}{25} [/tex]
Step-by-step explanation:
[tex] \frac{y}{2} - \frac{1}{5} = 2 - \frac{y}{3} [/tex]
First multiply through by the LCM to eliminate the fractions
The LCM of 2 , 5 and 3 is 30
We have
[tex]30 \times \frac{y}{2} - 30 \times \frac{1}{5} = 2(30) - 30 \times \frac{y}{3} \\ 15y - 6 = 60 - 10y[/tex]
Add 10y to both sides of the equation
[tex]15y + 10y - 6 = 60 + 10y - 10y \\ 25y - 6 = 60[/tex]
Add 6 to both sides of the equation
[tex]25y + 6 - 6 = 60 + 6 \\ 25y = 66[/tex]
Divide both sides by 25
[tex] \frac{25y}{25} = \frac{66}{25} [/tex]
We have the final answer as
[tex]y = \frac{66}{25} [/tex]
Hope this helps you
