Solve 246x^99+77xy+56y^3=5

$$246 { x }^{ 99 } +77xy+56 { y }^{ 3 } =5$$

Solve for y

$$y=\frac{3\times \left(\frac{7}{9}\right)^{\frac{2}{3}}\left(1+\sqrt{3}i\right)\left(\sqrt{6\left(3267864x^{198}-132840x^{99}+65219x^{3}+1350\right)}-4428x^{99}+90\right)^{-\frac{1}{3}}\left(3\left(1+\sqrt{3}i\right)\times \left(\frac{\sqrt{6\left(3267864x^{198}-132840x^{99}+65219x^{3}+1350\right)}-4428x^{99}+90}{18}\right)^{\frac{2}{3}}+11\times 14^{\frac{2}{3}}x\right)}{56}$$

$$y=\frac{3\times \left(\frac{7}{9}\right)^{\frac{2}{3}}\left(\sqrt{6\left(3267864x^{198}-132840x^{99}+65219x^{3}+1350\right)}-4428x^{99}+90\right)^{-\frac{1}{3}}\left(6\times \left(\frac{\sqrt{6\left(3267864x^{198}-132840x^{99}+65219x^{3}+1350\right)}-4428x^{99}+90}{18}\right)^{\frac{2}{3}}-11\times 14^{\frac{2}{3}}x\right)}{28}$$

$$y=-\frac{3\times \left(\frac{7}{9}\right)^{\frac{2}{3}}\left(-\sqrt{3}i+1\right)\left(\sqrt{6\left(3267864x^{198}-132840x^{99}+65219x^{3}+1350\right)}-4428x^{99}+90\right)^{-\frac{1}{3}}\left(3\left(-1+\sqrt{3}i\right)\times \left(\frac{\sqrt{6\left(3267864x^{198}-132840x^{99}+65219x^{3}+1350\right)}-4428x^{99}+90}{18}\right)^{\frac{2}{3}}-11\times 14^{\frac{2}{3}}x\right)}{56}$$