Question

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

Answer 1

Answer: y=5

Step-by-step 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

Answer 2

Hi there! Hopefully this helps!

--------------------------------------------------------------------------------------------------

Answer: $\boxed{y=5}$

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$4y=38-\frac{1}{2} (4y+16)$

Use the distributive property to multiply $-\frac{1}{2} = -0.5$ by $4y + 16$.

$4y=38-\frac{1}{2} \times 4y-\frac{1}{2} \times 16$

Express $-\frac{1}{2} \times 4=-2$  as a single fraction.

$4y=38+\frac{-4}{2}y - \frac{1}{2} \times 16$

Divide −4 by 2 to get −2.

$4y=38-2y-\frac{1}{2} \times 16$

Express $-\frac{1}{2} \times 16 = -8$ as a single fraction.

$4y=38-2y+\frac{-16}{2}$

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.

$y=\frac{30}{6}$

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