Solve for y. 3|4y-2|+7=61

asked Apr 24, 2023 173k views

5 votes

Solve for y.
3|4y-2|+7=61

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Answer:

y = 5 or
y = -4

Explanation:

$3|4y - 2| + 7 = 61 \text{ // Subtract 7}\\3|4y - 2| = 54 \text{ // Divide by 3}\\|4y - 2| = 18$

Case 1: 4y - 2 is positive

$4y - 2 = 18 \text{ // Add 2}\\4y = 20 \text{ // Divide by 4}\\y = 5$

Case 2: 4y - 2 is negative

$4y - 2 = -18 \text{ // Add 2}\\4y = -16 \text{ // Divide by 4}\\y = -4$

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