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Question
solve for y.
4|y - 2| + 48 = 8
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y =
Step1: Isolate the absolute value term
Subtract 48 from both sides.
$4|y-2| + 48 - 48 = 8 - 48$
$4|y-2| = -40$
Step2: Solve for the absolute value
Divide both sides by 4.
$\frac{4|y-2|}{4} = \frac{-40}{4}$
$|y-2| = -10$
Step3: Analyze the absolute value
Absolute value cannot be negative.
No real number $y$ satisfies $|y-2|=-10$.
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