QuestionSolve the absolute value equation: $|-4y + 6| + 6 = 1$ . Provide the answer as a reduced fraction if necessary.

Studdy Solution

STEP 1

Assumptions1. The equation is given as $|-4y+6|+6=1$ . We need to solve for $y$
3. The absolute value of a number is its distance from zero on the number line, which is always positive or zero.

STEP 2

First, we need to isolate the absolute value term. We can do this by subtracting6 from both sides of the equation.
$|-4y+6|+6-6=1-6$

STEP 3

implify the equation.
$|-y+6|=-5$

STEP 4

An absolute value can never be negative, so there are no solutions to the equation $|-4y+6|=-$ . The equation is inconsistent, and therefore, has no solution.

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