Medium brown/red hair to blond = orange?

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Okay, my natural color is dark alburn and I always dye it intense copper red (which comes out more like a deep red, not carrot color). Anyways, I was thinking about trying out a medium blonde color and I am afraid that my hir will end up orange or some other funky color. So my question is, if I dye my hair a light brown (or somethng similar) to try and reduce the red in it, and then step it up to a blond shade, will that help reduce the chance of getting an unwanted hair color? Will doing the color transition is steps help and if so how long should I wait before each dye application?