# Thread: I am trying to solve this muti step equation can anyone help thank you

1. ## I am trying to solve this muti step equation can anyone help thank you

3(2y+6) - 4(y-2) = 20

2. ## Re: I am trying to solve this muti step equation can anyone help thank you

We are given to solve:

$\displaystyle 3(2y+6)-4(y-2)=20$

Distribute the coefficients in front of the parentheses:

$\displaystyle 6y+18-4y+8=20$

Now collect like terms on the left. Can you finish?

3. ## Re: I am trying to solve this muti step equation can anyone help thank you

is this right

6y + 18 - 4y + 8 = 20
-6y + 18 -6y +8 = 20
18 -10y + 8= 20
-18 - 10y -18 = 20
-10y-10 = 20
+10y+10= 20
y=20?

4. ## Re: I am trying to solve this muti step equation can anyone help thank you

No. We have:

$\displaystyle 6y+18-4y+8=20$

Group like terms together:

$\displaystyle (6y-4y)+(18+8)=20$

Now combine the like terms:

$\displaystyle 2y+26=20$

All terms are divisible by 2, so divide every term by 2:

$\displaystyle y+13=10$

Subtract 13 from both sides:

$\displaystyle y=-3$

5. ## Re: I am trying to solve this muti step equation can anyone help thank you

oh ok I see what your doing and what I am doing wrong Thank you so so much I really appreciate your help Thanks again

6. ## Re: I am trying to solve this muti step equation can anyone help thank you

hi cocoa,

Please look up into your work steps. i found that the symbol of -/+ was changed without any movement across the equal (=).

6y + 18 - 4y + 8 = 20
-6y + 18 -6y +8 = 20

ok thank you

8. ## Re: I am trying to solve this muti step equation can anyone help thank you

Hi Is this right....wow I am having so much trouble here, but thanks so much!!!!
3(2y+6)-4(y-2)=20

6y+18-4y+8=20

(6y-4y)+(18+8)=20

2y+26=20

y+13=10

y=-3

9. ## Re: I am trying to solve this muti step equation can anyone help thank you

hi cocoa..
i hope you understand every steps...
for example:
1. why 2y+26=20 need to be divided by 2
2. how y+13=10 become y=-3

cheers.....

10. ## Re: I am trying to solve this muti step equation can anyone help thank you

Thank you yes I do understand this problem I hope I can continue thanks again

11. ## Re: I am trying to solve this muti step equation can anyone help thank you

this is what I think......thanks

2 divided by 2y=y
2divided by 26=13
2 divided 20=10

12. ## Re: I am trying to solve this muti step equation can anyone help thank you

I would state:

2y divided by 2 is y
26 divided by 2 is 13
20 divided by 2 is 10

This is because when you say x divided by y, this means x/y.

13. ## Re: I am trying to solve this muti step equation can anyone help thank you

right thanks soooooooooo much!!!!

14. ## Re: I am trying to solve this muti step equation can anyone help thank you

hi cocoa,

why don't you practice to solve below question.

3(3y+2) - 6(y-1) = 30

cheers....