Solve for y_3
y_{3}\in \left(-\frac{9}{7u},\frac{1}{7}-\frac{1}{14u}\right)
u<-\frac{17}{2}
Solve for u
\left\{\begin{matrix}u\in \left(\frac{1}{2\left(1-7y_{3}\right)},-\frac{9}{7y_{3}}\right)\text{, }&y_{3}>\frac{1}{7}\text{ and }y_{3}<\frac{18}{119}\\u<-9\text{, }&y_{3}=\frac{1}{7}\\u<-\frac{9}{7y_{3}}\text{, }&y_{3}>0\text{ and }y_{3}<\frac{1}{7}\end{matrix}\right.
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