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The value of |x-8| is always positive or equal to 0, so the value of -|x-8| will always be negative or equal to 0. So, the greatest value of -|x-8| is 0 and the greatest value of -|x-8|+3 is 0+3=3.
The greatest value of y is 3, so the range is [tex](-\infty,3][/tex].
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