Answer
88 three pointers, 590 free throws, 766 field goals
Work Step by Step
2386 points
free throws: 7*3P -26
3 pointers:
field goals (2 points each): 176 +FT
$F = 7P-26$
$G = 176+F$
P = 3 pointers
F = free throws
$2386 = (7P-26)*1+2*(176+F)+3P$
$2386=7P-26+2*(176+7P-26)+3P$
$2386=7P-26+2*(150+7P)+3P$
$2386=7P-26+300+14P+3P$
$2386=24P +274$
$2112 = 24P$
$2112/24 = 24P/24$
$P=88$
$F=7*88-26$
$F=616-26$
$F=590$
$G=176+F$
$G=176+590$
$G=766$