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I have followed this tutorial: Top-Down Scrolling Background(from scrirra tutorials)
Besides using his set Y to sprite Background, is there any other ways to do continuous scrolling background??
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It depends on what you're trying to do. The most flexibile way I feel is to use a tiled background and use modulus to keep it wrapping. You still have to use 'Set Y', but I don't know if you can avoid that. Here's an example that wraps on all 4 sides with two events. You can replace the tiled background with any image of any size and it'll still work with the same events. Hope this helps.
you will learn more from this tuto