SOLUTION: This is trying to find the value of the variable utilizing the shown numbers and symbols. I am severly unclear, but my instructor mentioned something about some of the equations ha

Question 22682: This is trying to find the value of the variable utilizing the shown numbers and symbols. I am severly unclear, but my instructor mentioned something about some of the equations having no solutions. Also, some questions can have infinite solutions. I am sorry that I cannot supply more information, but please assist me. Here is an example of a problem I tried to solve:
Apparently, the variable must be a number that would make the two sentences equal, if it has a solution or infinate solutions as mentioned above.
This is how I tried to solve the problem:

+6 +6 <-------Add six to 11y and -6
16y-7y=5+4 <--------This was the sum that I got
-4 -4 <----Sustracted four from 16y and +4
12y-7y=5 <------This was my difference
+7 +7 <----Added seven to 12y and 5
19y/12=12/12 <-----19y divided by 12. 12 divided by twelve. 12 was discarted. The quotient of 19y and 12 is supposed to be the solution. In conclusion. I deemed this equation as having 'no solution', but I have a suspicion that my answer is wrong from human error. Thank you for helping.

Answer by stanbon(48568) (Show Source):
You can put this solution on YOUR website!
11y-7y = 5 + 4y -6
Subtract 7y from 11y to get 4y.
Subtract 6 from 5 to get -1
4y = -1 + 4y
Subtract 4y from each side of the equal sign to get
0 = -1
That is a contradiction which came about because we
assumed the "y" was some specific number. It is NOT.
There is no solution.
Cheers,
Stan H.