Question 126356
{{{8/5y-2/3y=23-1/15y}}}


Put the all the terms containing y on the left by adding {{{1/15y}}}


{{{8/5y-2/3y+1/15y=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*5*y=15y}}}


{{{3*8/(3*5y)-5*2/(5*3y)+1/15y=23}}}


{{{24/15y-10/15y+1/15y=23}}}


{{{(24-10+1)/15y=23}}}


{{{15/15y=23}}}


{{{1/y=23}}}


{{{y=1/23}}}