What is the answer to 7y+2=|5y-2| ?

The answer to 7y+2=|5y-2| is y=0

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7y+2=|5y-2|

7 y + 2 = ∣ 5 y - 2 ∣

y = 0

Solution steps

7 y + 2 = ∣ 5 y - 2 ∣

Find positive and negative intervals

y < \frac{2}{5}, y \geq \frac{2}{5}

Solve the inequality for each interval

y = 0 or No Solution

y = 0

∣ x ∣ - 4 = 4

2 x^{2} - 3 x + 1 = 1

∣ 5 x + 15 ∣ = 5

∣ 6 n ∣ = 0

∣ 2 x + 5 ∣ + 2 = x