db={collection:[{"_id":{"$oid":"56d61033a378eccde8a8354f"},"business_name":"ATLIXCO DELI GROCERY INC.","address":{"city":"RIDGEWOOD","zip":11385,"street":"MENAHAN ST","number":1712}},{"_id":{"$oid":"56d61033a378eccde8a83550"},"business_name":"Neighbor of ATLIXCO DELI GROCERY INC.","address":{"city":"RIDGEWOOD","zip":11385,"street":"MENAHAN ST","number":1714}}],temp_address_collection:[{"address":{"city":"RIDGEWOOD","number":1712,"street":"MENAHAN ST","zip":11385},"ids":[ObjectId("56d61033a378eccde8a8354f")]},{"address":{"city":"RIDGEWOOD","number":1714,"street":"MENAHAN ST","zip":11385},"ids":[ObjectId("56d61033a378eccde8a83550")]}]}

db.collection.aggregate([{$lookup:{from:"temp_address_collection",localField:"_id",foreignField:"ids",as:"matched"}},{$addFields:{matched:{$arrayElemAt:["$matched",0]}}},{$addFields:{"address.id":"$matched._id"}},{$project:{matched:0}}])