Check for Clan Castle troops. If you don't check it, Wizards and Valkyries can easily and almost instantly wipe out your giants. If any, lure them out with more archers and kill them with archers as well.
Find the side of the base that is closest to the Dark Elixir Storage and deploy your giants there.
If there are any buildings outside of the walls, deploy about half of your archers to get rid of them.
deploy your wallbreakers. Be sure to look out for splash damage
After the wall has been broken through, check for any nearby air defenses, if there are any nearby, make sure the giants get through and destroy it first. You can use your spells to make sure the giants destroy the air defense(s).
Deploy your Healers behind the giants. you can also deploy the rest of your archers. Also, you can deploy your hero(s) and Clan Castle Troops if you have any.
If your healers die, or the damage is too overwhelming for the healers to heal all your giants, you can use your heal spells.
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Your Giants should have wiped out all of the defenses around the Dark Elixir Storage allowing your Archers, Hero(s), etc. to easily get to the storage