Whatever you do, don't ever ever ever throw out a piece of paper. One day you could be cleaning out your room and discover a sheet covered in scribbles and notes in the margins and raw thoughts that might even seem to come from another you entirely. But whatever the page says, you'll see yourself in it and be taken back to those feelings-- if they're good, they'll remind you of times you felt happiest; if they're bad, you'll be able to look at them with wisdom you didn't have then.
The eraser is not your friend. It tricks you into thinking that words you have dared to get out on paper might not have been good enough. A really cool thing about things you write is that it isn't like real life: any ending you don't like, any aspect that isn't exactly completely perfect right away (and believe me, not many aspects will be) can always be returned to and rewritten any time you want to change it. But write your first drafts in pen, because any thought you have is going to be beautiful because it is your own.
And finally, if you ever do need to get rid of a piece of paper, recycle it. Cause the beautiful part about recycling is that it takes something that you just werent able to use and turns it into something that could be meaningful and beautiful to somebody else.