Have you downloaded the schematics? I'm adding a couple of pics from the front door schematic. The cabinet schematic shows the front door wiring.
Cross reference the wire colors against the key.
For example, the brown white wire you are showing is a 65 wire and that is for the #1 coin chute, closest to the hinge.

You can find the schematics here: https://www.ipdb.org/files/1858/Bally_1978_Power_Play_Schematics_paginated.pdf

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A factory tip. Never wrap the wire around the hole in the lug when you solder it. It creates a stress point that leads to the wire breaking off. Always put a small dab of solder on the lug and wire and 'tack' solder the wire to the lug. It makes for a more reliable connection.