Lumberjack Admission Test 2

Have you been studying for your LAT's? Well, this shall decide whether you join the club or not. Let's go!

If

$\begin{cases} \log _{ x+a }{ x } \le \log_{a}{x^2},a>0,a\neq 1 \\ \frac { 2+\log_{3}{y} }{ y-1 } <\frac { 6}{ 2y-1 } \end{cases}$

and

$x>L$ when $a>1$ ; $U<x\le \sqrt { a}-a$ and $M-a<x\le B$ when $0<a<1$ ,

and

$E \le y \le R$ ,

evaluate

$L+U+M+B+E+R$