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

The answer to |y-2|=|y+3| is y=-1/2

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|y-2|=|y+3|

∣ y - 2 ∣ = ∣ y + 3 ∣

y = - \frac{1}{2}

Decimal Notation

y = - 0.5

Solution steps

∣ y - 2 ∣ = ∣ y + 3 ∣

Find positive and negative intervals

y < - 3, - 3 \leq y < 2, y \geq 2

Solve the inequality for each interval

No Solution or y = - \frac{1}{2}

y = - \frac{1}{2}

2 x^{2} + 13 x + 20

(\frac{4}{3}) π 240 0^{3}

- 7 < 9 + 2 x < 5

x^{5} + x^{4} - 11 x^{3} - 9 x^{2} + 18 x

7 \frac{n}{3} - 9 < 12