What is the answer to 2y+6=-|y+4| ?

The answer to 2y+6=-|y+4| is y=-10/3

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2y+6=-|y+4|

2 y + 6 = - ∣ y + 4 ∣

y = - \frac{10}{3}

Solution steps

2 y + 6 = - ∣ y + 4 ∣

Find positive and negative intervals

y < - 4, y \geq - 4

Solve the inequality for each interval

No Solution or y = - \frac{10}{3}

y = - \frac{10}{3}

∣ 5 x + 3 ∣ + 2 = 9

x^{2} - 5 x + 3 = 0

∣ x + 3 ∣ + 2 = 2 x + 8

\frac{2 x - 5}{3} = 11

0 = - ∣ r ∣