What is the answer to this question?

+9 votes
203 views
4(8-y)=2y+16
asked Apr 13, 2014 in Math by John_R (300 points)
edited Mar 25, 2014 by John_R


1 Answer

+1 vote

4(8-y)=2y+16

I first multiply thing out on the left

32 - 4y = 2y + 16

With an equation, you can do any math operation on one side if you do the same thing on the other side. It is like a scale that stays balanced as long as you add the amount of weight on both sides.

I'm going to add 4y to both sides

32 - 4y + 4y = 2y + 16 + 4y

You can now combine the y's to simplify 

32  = 6y + 16

Subtract 16 from both sides
32 - 16 = 6y + 16 -16

16 = 6y

Divide both sides by 6

16/6 = 6y/6

16/6 = y

or 

y = 16/6

this can be simplified since 6 goes into 16 two times with a remainder of of 4/6 or 2/3

y = 2  2/3 

in decimal it is about ~ 2.67

It is always a good idea to check your results so

4(8-16/6) = 2(16/6) + 16

Doing the math shows they are both equal, which validates the answer.

After a while you can do these much faster. I can even give you answer without writing anything down in my head, but best to do it all in small steps when you are a beginner. Over time you will get better at it.

 

answered Apr 13, 2014 by zippy (21,080 points)

Related questions

+13 votes
1 answer
274 views asked Mar 5, 2014 in Math by smile828 (30,360 points)
+5 votes
6 answers
98 views asked Mar 27, 2017 in Other by Dolphinsaresocute
+8 votes
5 answers
469 views asked Oct 29, 2014 in Math by jacob
+8 votes
9 answers
+6 votes
2 answers
123 views asked Nov 7, 2015 in Fun Stuff by anonymous
+11 votes
5 answers
2,494 views asked Apr 5, 2013 in Foreign Languages by smile828 (30,360 points)
+10 votes
6 answers
+6 votes
1 answer
81 views asked Nov 23, 2017 in Homework Help by The unknown
+9 votes
0 answers
+9 votes
4 answers
+14 votes
9 answers
262 views asked May 18, 2016 in Other by JtFullingim
+5 votes
2 answers
21 views asked Apr 7 in Other by NATHAN (48,720 points)
+5 votes
1 answer
43 views asked Dec 22, 2015 in Jokes & Riddles by riddleking (1,680 points)
+9 votes
1 answer
202 views asked Feb 20, 2015 in Math by andrew
+12 votes
7 answers
29,844 views asked Apr 17, 2013 in Math by Netball (2,130 points)
+8 votes
2 answers
+11 votes
11 answers
2,939 views asked Mar 14, 2013 in Math by 8014303 (960 points)
+6 votes
1 answer
495 views asked Dec 16, 2015 in Math by anonymous
+7 votes
1 answer
274 views asked Sep 29, 2014 in Math by anonymous
+8 votes
3 answers
107 views asked Apr 4, 2013 in Math by smile828 (30,360 points)
+10 votes
8 answers
206 views asked Mar 12, 2013 in Math by anonymous
+5 votes
3 answers
+5 votes
3 answers

Recent Badges

Popular Question
- ❤☮LouTheLuver☮❤ -
Nice Answer
- -GEMHeart- -
Nice Answer
- -GEMHeart- -
Nice Answer
- -Moonlight- -
Popular Question
- ❤️GryffindorGal❤️ -
...