How do you solve?

Question

4(3 y - 2) + 5( y + 8) = 0

y=2 14/17

y=1 2/3

y=2/3

y=1 15/17

Answer 1

Hi again Dear Porita ;
4(3 y - 2) + 5( y + 8) = 0
12 y - 8 + 5y + 40 = 0
( 12y + 5y) + ( -8 + 40) = 0
17 y + 32 = 0
17 y = -32
y = -32/17
y = - 1.88235

Good Luck dear.

Answer 2

4(3y-2)+5(y+8)=0
12y-8+5y+40=0
17y+32=0
17y=-32
y=-32/17
y=-1 15/17

Answer 3

First, multiply out each part

4(3y - 2) + 5(y + 8) = 0
12y - 8 + 5y + 40 = 0

Now combine similar terms
12 y + 5y - 8 + 40 = 0
17 y + 32 = 0
Subtract 32 from both sides
17 y = -32
divide by 17 both sides
y = -32/17

Answer 4

4(3y-2) + 5(y+8)=0

***GOAL: To get the variable by itself***

1.Use the Distributive Property:
When you distribute something, you give pieces of it to many different people. One example of distributing objects is handing out papers in class. In math, people usually talk about the distributive property of one operation over another.

The most common distributive property is the distribution of multiplication over addition. It says that when a number is multiplied by the sum of two other numbers, the first number can be handed out or distributed to both of those two numbers and multiplied by each of them separately. Here's the distributive property in symbols:

a(b+c) = a(b) + a(c)

So, you get: (12y -8) + (5y + 40) = 0

2.Add the common variables.

12y - 8 + 5y + 40 =0
17y -8 +40 =0
17y +32 =0

3.Subtract 32 from both sides.
*Remeber your goal is to get the variable by itself*
**Whatever you do to one side you do to the other**

17y + 32 = 0
-32 -32
----------------------
17y = -32

4. Divide to get what one Y equals:

17y = -32
----- ------
17 17

Answer: you get Y= -32/7

Answer 5

4(3y - 2) + 5(y+8) = 0
easy, do distributive property
(12y - 8) + 5y +40=0
then add commin variables
17y + 32 = 0
subtract 32
17y = -32
divide by 17
y= -32/17
the teacher probably wants you to keep it like this because the decimal form is very long.

Answer 6

First, you distribute the 4 and 5.

12y-8 + 5y +40 =0

Then, you add 40 and -8 together and add 12y and 5y together.

17y + 32=0

Then subtract 32 from both sides.

17y= -32

Then divide both sides by 17

y= -32/17

Answer 7

4(3 y - 2) + 5( y + 8) = 0
12y - 8 + 5y + 40 = 0
17y + 32 = 0
17y = -32
y = -32/17

Answer 8

4(3 y - 2) + 5( y + 8) = 0
(12y-8) + (5y + 40) = 0
17y + 32 = 0
17y = -32
y = -1.882

Answer 9

the last set of answer on the list is the correct answer

Answer 10

Y= -1.88

i think lol