Question

1/3(4y-2)+ 1/9(6y+10)

Answer 1

Here are the steps :
1- Distributing

1/3 (4y-2) + 1/9 (6y + 10 )

1/3 ( 4y ) = 4/3 = 1 1/3 y
1/3 ( -2 ) = -2/3

1/9 ( 6y ) = 6/9 y
1/9 ( 10 ) = 10/9 or 1 1/9

Now we get the equation :
1 1/3y - 2/3 + 6/9y + 1 1/9


2- finding common denominators
1 1/3y and 6/9y can both have 9 as the denominator .
The fraction 1/3 has to be multiplied by 3 , both numerator & denominator , to get the same denominator (sorry if it’s confusing) .

Then we’d get 1 3/9y + 6/9y = 2y

Now we do the same thing with the other digits (without a variable)

- 2/3 + 1 1/9 or
- 6/9 + 1 1/9 = 4/9

3 - answer
So ,

1/3 (4y-2) + 1/9 (6y + 10 )

Distributed is

2y - 6/9

Answer 2

The answers is 2y+4/9

Hope that helps!! :)