In attachment, a minimal non working example. Would you know how to place the tag at the end of the line?
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\documentclass{jnm}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage[cmex10]{amsmath}
\usepackage{array}
\usepackage{graphicx}
\usepackage{caption}
\usepackage{subcaption}
\usepackage{hyperref}
\usepackage{empheq}
\newcommand\lr[1]{\left(#1\right)}
\begin{document}
Text
\begin{empheq}[]{align*}
\tag{$E_x$} E_x =& \phantom{+} \frac{1}{16\lr{1-\frac{1}{\pi}\alpha_x}} \\
&\times\left[4\lr{1-\frac{2}{\pi}\alpha_x} \lr{E_{x,1}^{\rm blue} + E_{x,2}^{\rm blue} + E_{x,3}^{\rm blue} + E_{x,4}^{\rm blue}}\right. \notag \\
&+ \lr{\frac{2}{\pi}\alpha_x} \lr{E_{x,1}^{\rm orange} + E_{x,2}^{\rm orange} + E_{x,3}^{\rm orange} + E_{x,4}^{\rm orange}} \notag \\
&+ \left.\lr{\frac{2}{\pi}\alpha_x} \lr{E_{x,1}^{\rm green} + E_{x,2}^{\rm green} + E_{x,3}^{\rm green} + E_{x,4}^{\rm green}}\right] \notag \\
%&\rule[10pt]{100pt}{0.1pt}\\
E_y =& \phantom{+} \frac{1}{16\lr{1-\frac{1}{\pi}\alpha_y}} \\
&\times\left[ \lr{\frac{2}{\pi}\alpha_y}\lr{E_{y,1}^{\rm blue} + E_{y,2}^{\rm blue} + E_{y,3}^{\rm blue} + E_{y,4}^{\rm blue}} \right. \notag \\
&+ 4\lr{1-\frac{2}{\pi}\alpha_y}\lr{E_{y,1}^{\rm orange} + E_{y,2}^{\rm orange} + E_{y,3}^{\rm orange} + E_{y,4}^{\rm orange}} \notag \\
&+ \left.\lr{\frac{2}{\pi}\alpha_y}\lr{E_{y,1}^{\rm green} + E_{y,2}^{\rm green} + E_{y,3}^{\rm green} + E_{y,4}^{\rm green}}\right] \notag \\
%&\rule[10pt]{100pt}{0.1pt}\\
E_z =& \frac{1}{16\lr{1-\frac{1}{\pi}\alpha_z}} \\
& \times \left[\lr{\frac{2}{\pi}\alpha_z}\lr{E_{z,1}^{\rm blue} + E_{z,2}^{\rm blue} + E_{z,3}^{\rm blue} + E_{z,4}^{\rm blue}}\right. \notag \\
&+ \lr{\frac{2}{\pi}\alpha_z}\lr{E_{z,1}^{\rm orange} + E_{z,2}^{\rm orange} + E_{z,3}^{\rm orange} + E_{z,4}^{\rm orange}} \notag \\
&+ \left.4\lr{1-\frac{2}{\pi}\alpha_z}\lr{E_{z,1}^{\rm green} + E_{z,2}^{\rm green} + E_{z,3}^{\rm green} + E_{z,4}^{\rm green}} \right. \notag
\end{empheq}
Text
\end{document}