You control another nontoken creature with base toughness 2 or greater that does not have a -1/-1 counter on it.
Steps
Activate
Blasting Station by tapping it and sacrificing the additional creature.
When the creature dies, its persist ability triggers, returning it from your graveyard to the battlefield with a -1/-1 counter on it.
When the creature enters,
Blasting Station triggers, untapping
Blasting Station.
Resolve the
Blasting Station ability from step 1.
Activate
Blasting Station by tapping it and sacrificing
Sin.
When
Sin dies, it triggers twice.
Resolve the first trigger, returning
Sin from your graveyard to the battlefield with a -1/-1 counter on it. As
Sin enters, remove the -1/-1 counter from the creature sacrificed in step 1, causing
Sin to enter with a +1/+1 counter on it instead.
When
Sin enters,
Blasting Station triggers, untapping
Blasting Station.
Resolve the second
Sin trigger, putting the counters it had on it when it was sacrificed onto a creature you control and failing to shuffle it into your library as it's no longer in your graveyard.