What is the answer to |2y+3|-3=0 ?

The answer to |2y+3|-3=0 is y=-3\lor y=0

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|2y+3|-3=0

∣ 2 y + 3 ∣ - 3 = 0

y = - 3 or y = 0

Solution steps

∣ 2 y + 3 ∣ - 3 = 0

Move

3

to the right side

∣ 2 y + 3 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 y + 3 = - 3 or 2 y + 3 = 3

2 y + 3 = - 3 or 2 y + 3 = 3

y = - 3 or y = 0

∣ 2 x - 1 ∣ + 2 = 2

∣ u + 115 ∣ = 10

- 4 \frac{x}{6} = - 6

∣ 2 y ∣ - 4 = 16

∣ x - 1 ∣ = x^{2} + 1