Question

I need the answer for c

Answer 1

Answer:

$y = \frac{66}{25}$

Step-by-step explanation:

$\frac{y}{2} - \frac{1}{5} = 2 - \frac{y}{3}$

First multiply through by the LCM to eliminate the fractions

The LCM of 2 , 5 and 3 is 30

We have

$30 \times \frac{y}{2} - 30 \times \frac{1}{5} = 2(30) - 30 \times \frac{y}{3} \\ 15y - 6 = 60 - 10y$

Add 10y to both sides of the equation

$15y + 10y - 6 = 60 + 10y - 10y \\ 25y - 6 = 60$

Add 6 to both sides of the equation

$25y + 6 - 6 = 60 + 6 \\ 25y = 66$

Divide both sides by 25

$\frac{25y}{25} = \frac{66}{25}$

We have the final answer as

$y = \frac{66}{25}$

Hope this helps you