Vincent, Tommy and Flynn shared a bag of buttons. Tommy took 2/5 as many buttons as Flynn. Vincent took twice as many buttons as the total Tommy and Flynn took. After Vincent had given 49 to Tommy and 4 to Flynn, Tommy gave 6 to Flynn. In the end, all three of them had the same number of buttons. Find the difference between the number of buttons that Vincent and Tommy had at first.
t = 2/5 f
v = 2(t+f)
t-6 = f+6 = v