Completely agree, it's harder than it needs to be. I might have described it as remove the 2 bolts, the slightly rotate the alternator case to clear housing, then pull forward toward the remove.

1st removal took me 20 mins after having all of the bolts out, 2nd, 3rd, (to readjust the main harness to main bolt orientation, then to adjust wire over instead of under little bracket)

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2003 E39 530i
1992 MX5
2005 E53 x5 4.8is (sold)
1990 K75S (sold)