SOLUTION: Can you help me? I need to solve for y. The equation is 8/5y-2/3y=23-1/15y. I dont know how to do this...

Algebra ->  Equations -> SOLUTION: Can you help me? I need to solve for y. The equation is 8/5y-2/3y=23-1/15y. I dont know how to do this...      Log On


   

Question 126356: Can you help me? I need to solve for y. The equation is 8/5y-2/3y=23-1/15y. I dont know how to do this...
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
8%2F5y-2%2F3y=23-1%2F15y

Put the all the terms containing y on the left by adding 1%2F15y

8%2F5y-2%2F3y%2B1%2F15y=23


Now find the lowest commond denominator:

Factors of 5y are 5 and y
Factors of 3y are 3 and y
Factors of 15y are 3 and 5 and y

We need one 3, one 5, and one y, so the LCD is 3%2A5%2Ay=15y

3%2A8%2F%283%2A5y%29-5%2A2%2F%285%2A3y%29%2B1%2F15y=23

24%2F15y-10%2F15y%2B1%2F15y=23

%2824-10%2B1%29%2F15y=23

15%2F15y=23

1%2Fy=23

y=1%2F23