99.9k views
1 vote
Solve the Equation.
5(2−y)+y=−6

y=?

2 Answers

2 votes

Hello!

Answer:

y=4

*The answer must have a positive sign.*

Explanation:

Distributive property: a(b+c)=ab+ac

First, expand form.


5(2-y)=10-5y


10-5y+y=-6

Then you add by the similar elements.


-5y+y=-4y


10-4y=-6

Next, you subtract by 10 from both sides of an equation.


10-4y-10=-6-10

Simplify.


-4y=-16

You can also divide by -4 from both sides of an equation.


(-4y)/(-4)= (-16)/(-4)

And finally, you simplify and solve. Then you divide by the numbers.


16/4=4

Final answer: →
y=4

Hope this helps!

Thanks!

-Charlie

Have a great day!

:)

:D

User Jpnh
by
8.5k points
6 votes
Distribute the 5(2-y).
You get:

10 - 5y + y = - 6
Add like terms.

10 - 4y = - 6
Get the variable by itself. In this case, subtract ten from both sides.

- 4y = - 16
To get the variable alone, divide by -4.
You get:

y = 4
Hope this helped!

:)
User Laxmikant
by
8.6k points

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