Why does deleted music come back again?

I

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why does deleted music come back again

I have one album that I downloaded, plus one other song that I want to delete. I don't want to delete everything. I read that if I go to Itunes and More and Music and download all. Then I will be able to go to the Music app and swipe to delete. I did all that. I swiped to delete. It went off my phone. But it was still on my iPad and now the darn thing is on BOTH. The other one song that I downloaded by mistake, I tried swiping to delete, but didn't get that red Delete button thing.

How can I permanently delete both from my iphone and my ipad?