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Before ordering parts or considering repairs, make certain it is the backlight which is out. One way to tell is if you can see video on the screen in a darkened room, or if you shine a bright light on the screen. The images can barely be seen - very faint. Is that what you're experiencing?
The backlight of your MacBook is located within the LCD assembly and is very difficult to remove and replace. Apple recommends replacing the entire LCD, not just the backlight. Also, the backlight is fed AC voltage by the inverter thru a cable. Either of those could be bad.
Three things: backlight CCFL tube, inverter, cable. Any of those three or all three could be defective.