# How do you solve #-2abs(y-7)+18=8#?

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To solve -2|y - 7| + 18 = 8, first, isolate the absolute value term, then solve for y.

-2|y - 7| + 18 = 8 -2|y - 7| = 8 - 18 -2|y - 7| = -10

Divide both sides by -2: |y - 7| = 5

Since the absolute value of y - 7 is equal to 5, y - 7 could be either 5 or -5.

Case 1: y - 7 = 5 y = 5 + 7 y = 12

Case 2: y - 7 = -5 y = -5 + 7 y = 2

So, the solutions are y = 12 and y = 2.

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