Question

4y = 38 -1/2 (4y + 16)

Answer 1

`y=5`

Explanation:

`4y=38-(1)/(2)\left(4y+16\right)`

→ Multiply fractions:-
`a*(b)/(c) =(a* b)/(c)`

`(1\cdot \left(4y+16\right))/(2)`

`(4y+16)=4y+16`

`4y=38-(4y+16)/(2)`

→ Multiply both sides by 2:-

`y\cdot \:2=38\cdot \:2-(4y+16)/(2)\cdot \:2`

`8y=76-\left(4y+16\right)`

`76-(4y+16)=-4x+60`

`8y=-4y+60`

→ Add 4y to both sides:-

`8y+4y=-4y+60+4y`

`12y=60`

→ Now, divide both sides by 12:-

`(12y)/(12)=(60)/(12)`

`y=5`

OAmalOHopeO

Answer 2

`\large \mathfrak{Solution : }`

let's solve for y :

• 
  `4y = 38 - (1)/(2) (4y + 16)`

• 
  `4y = 38 - 2y - 8`

• 
  `4y + 2y = 30`

• 
  `6y = 30`

• 
  `y = 30 / 6`

• 
  `y = 5`

value of y = 5