SOLUTION: We have tried to slove the problem but our answer does not agree with any of our 4 muliple choice answers. We felt we did it correctly. Please help, how do you solve the problem?

Algebra ->  Real-numbers -> SOLUTION: We have tried to slove the problem but our answer does not agree with any of our 4 muliple choice answers. We felt we did it correctly. Please help, how do you solve the problem?      Log On


   

Question 8637: We have tried to slove the problem but our answer does not agree with any of our 4 muliple choice answers. We felt we did it correctly. Please help, how do you solve the problem? Show all steps. Thanks! 1/4(y-1/3)-1/6(y-3)=2/3
Answer by glabow(165) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F4%29%28y-%281%2F3%29%29-%281%2F6%29%28y-3%29=2%2F3
%28y%2F4%29-%281%2F12%29-%28y%2F6%29%2B%283%2F6%29=2%2F3 [multiplied first group by 1/4; multiplied second group by -1/6]
%283y%2F12%29-%281%2F12%29-%282y%2F12%29%2B%286%2F12%29=8%2F12 [made all fractions have common denominator of 12]
%28y%2F12%29-%287%2F12%29=8%2F12 [combined like terms]
%28y%2F12%29-15%2F12=0 [subtract 8/12 from both sides]
y-15+=+0 [multiply both sides by 12]
y=15 [add 15 to both sides]
I hope that's one of your choices!