What is the answer to |4y-2|+7=41 ?

The answer to |4y-2|+7=41 is y=-8\lor y=9

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|4y-2|+7=41

∣ 4 y - 2 ∣ + 7 = 41

y = - 8 or y = 9

Solution steps

∣ 4 y - 2 ∣ + 7 = 41

Move

7

to the right side

∣ 4 y - 2 ∣ = 34

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 y - 2 = - 34 or 4 y - 2 = 34

4 y - 2 = - 34 or 4 y - 2 = 34

y = - 8 or y = 9

∣ w - 6 ∣ + 33 = 14

∣ c ∣ + 4 = 14

∣ 1 - 4 x ∣ - 5 = 3

∣ w ∣ + 13 = 13

5 = x^{2} - 2 x - 4