\(y - 11\sqrt{y} + 24 = 0 \implies y + 24 = 11\sqrt{y}\) Squaring both sides, \(y^{2} + 48y + 576 = 121y\) \(y^{2} + 48y - 121y + 576 = 0 \implies y^{2} - 73y + 576 = 0\) \(y^{2} - 64y - 9y + 576 = 0\) \(y(y - 64) - 9(y - 64) = 0\) \((y - 9)(y - 64) = 0\) \(\therefore \text{y = 64 or y = 9}\)