Darby and Phillips had $212 baseballs altogether. Phillips had $28 baseballs less than Darby. After Phillips spent some money on baseballs, Darby had 6 times as much baseballs as Phillips. How much baseballs had Phillips spent?

x + y = 212

y = x - 28
x + x - 28 = 212
2x = 240
x = 120
y = 92
6 (y - z) = x
z = 92 - 20 = 72
72 baseballs