Question

What is the answer to 4y=38-1/2(4y+16)

Answer 1

4y=38-1/2*2 (2y+8)

4y=38-2y-8

6y=30

y=30/6

y=5

Answer 2

The value of the provide equation is y=5.

Explanation:

Consider the provided equation.

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

Use the distributive property:
`a(b+c)=ab+ac`

`4y=38-(1)/(2)* 4y-(1)/(2)* 16`

`4y=38-2y-8`

`4y=30-2y`

Add 2y to both the sides

`4y+2y=30-2y+2y`

`6y=30`

Divide both the sides by 6.

`y=5`

Hence, the value of the provide equation is y=5.