Question

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

Answer 1

Hi there! Hopefully this helps!

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Answer:
`\boxed{y=5}`

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

Use the distributive property to multiply
`-(1)/(2) = -0.5` by
`4y + 16`.

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

Express
`-(1)/(2) * 4=-2` as a single fraction.

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

Divide −4 by 2 to get −2.

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

Express
`-(1)/(2) * 16 = -8` as a single fraction.

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

Divide −16 by 2 to get −8.

`4y=38-2y-8`

Subtract 8 from 38 to get 30.

`4y=30-2y`

Add
`2y` to both sides.

`4y+2y=30`

Combine
`4y` and
`2y` to get
`6y`.

`6y = 30`

Divide both sides by 6.

`y=(30)/(6)`

And finally, divide 30 by 6 to get, you guessed it, 5!

Answer 2

Answer: y=5

Explanation:

Given

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

Distributive -1/2 to the parentheses

4y=38-2y-8

Add 2y on both sides (addition property of equality)

6y=38-8

Combine like term

6y=30

Divide 6 on both sides (division property of equality)

y=5

Hope this helps!! :)

Please let me know if you have any question