\documentclass[a4paper,fleqn]{article}
\usepackage{amsmath}
%\usepackage{expl3}
%\ExplSyntaxOn
%\cs_new_eq:NN \tl_if_eq:xxTF \str_if_eq:xxTF
%\cs_new_eq:NN \tl_if_eq:xxT  \str_if_eq:xxT
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\begin{document}
\noindent

State 1:
\begin{eqnarray}
\textrm{Min} \sum\limits_{l,m} f_{lm}Y_{lm}\\
\textrm{subject to}\\
\sum\limits_{i,j} X_{ijlm}d_{ij}= Y_{lm} , \qquad  \forall l, m\\
X_{ijlm}d_{ij}\leq Z_{ij} , \qquad  \forall l, m, i, j\\
\end{eqnarray}


State 2:
\begin{eqnarray}
&\textrm{Min} \sum\limits_{l,m} f_{lm}Y_{lm}\\
&\textrm{subject to}\\
&\sum\limits_{i,j} X_{ijlm}d_{ij}= Y_{lm} , \qquad  \forall l, m\\
&X_{ijlm}d_{ij}\leq Z_{ij} , \qquad  \forall l, m, i, j\\
\end{eqnarray}

%%State 3:
%\begin{eqnarray}
%&&\textrm{Min} \sum\limits_{l,m} f_{lm}Y_{lm}\\
%&&\textrm{subject to}\\
%&&\sum\limits_{i,j} X_{ijlm}d_{ij}= Y_{lm} , \qquad  \forall l, m\\
%&&X_{ijlm}d_{ij}\leq Z_{ij} , \qquad  \forall l, m, i, j\\
%\end{eqnarray}

\end{document}