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You get the quest randomly when turning in bounties to Shiro at Felwinter's Peak. From that the steps are:
Step 1: Echoes of Darkness: Face "The Wretched Eye" and defeat Kovik, the Devil Splicers' high priest. Doesn't matter what difficulty
Step 2: Harvest of the Lesser: Wipe out Fallen in the Plaugelands to feed the weapon's appetite. Quite a bit of splicers have to be killed.
Step 3: Feast Upon the Light: Use Void Damage to defeat Guardians in the Crucible. Private matches don't count. (No death penalty)
Step 4: Cleansed by The Light: Consume Motes of Light to Cleanse yourself and the weapon. 5 motes.
Step 5: Where it Began: Find a Skeleton Key and open the Strike Hoard at the end of "The Abomination Heist" Strike.
And thats it! Now I just gotta get the quest to drop.
https://m.reddit.com/r/DestinyTheGame/comments/53oc0r/can_confirm_how_to_get_year_3_thorn_spoilers/link
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