17.7 USE problems

Problem: Find all the solutions to the system, using the majorant method: \[ \left\{\begin{array}{l} y \sin x=\log _{2}\left|\frac{y \sin x}{1+3 y}\right| \\ \left(6 y^{2}+2 y\right)\left(4^{\sin ^{2} x}+4^{\cos ^{2} x}\right)=25 y^{2}+6 y+1 \end{array}\right. \]