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

The answer to |2y+5|=|7-2y| is y= 1/2

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|2y+5|=|7-2y|

∣ 2 y + 5 ∣ = ∣ 7 - 2 y ∣

y = \frac{1}{2}

Solution steps

∣ 2 y + 5 ∣ = ∣ 7 - 2 y ∣

Find positive and negative intervals

y < - \frac{5}{2}, - \frac{5}{2} \leq y \leq \frac{7}{2}, y > \frac{7}{2}

Solve the inequality for each interval

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

y = \frac{1}{2}

r^{2} - 16 = 0

(x + 3) (x + 7) = 0

8 - 2 x - x^{2} < 0

- 2 x - 14 \leq 86

\frac{x ^{2} - y ^{2}}{4 x + 4 y} \cdot \frac{x + y}{x - y}