After some helpful responses, what I have is below:
But I would like the equation now numbered with (1.2a) to be (1.2); the equation now numbered (1.2b) to be (1.3); and the equation now numbered (1.2c) to be (1.4); and the equation now numbered (1.3) to be (1.5)
\documentclass{article}
\usepackage{amsmath}
\usepackage{hyperref}
\usepackage{lipsum} % for mock text
\renewcommand{\theequation}{\thesection.\arabic{equation}}
\begin{document}
\section{First section}
An equation here:
\begin{equation} \label{x=y}
x = y
\end{equation}
and the main one here:
\begin{subequations}\label{main}
\begin{equation}
\left.
\addtocounter{equation}{-1}
\edef\theHparentequation{x.\theHparentequation}
\begin{minipage}{0.8\displaywidth}
\vspace*{-\baselineskip}
\begin{align}
a&=b \label{a} \\
c&=d \label{b} \\
e&=f \label{c}
\end{align}
\end{minipage}
\right\}
\label{main} \tag{MAIN}
\end{equation}
\end{subequations}
References: \eqref{main}; \eqref{a}; \eqref{b}; \eqref{c}.
Another equation here:
\begin{equation} \label{u=v}
u = v
\end{equation}
\end{document}



\usepackage{amsmath} \usepackage{hyperref}
\begin{document}
\begin{subequations} \begin{equation} a=b \label{first} \end{equation}
\begin{equation} c=d \end{equation} \begin{equation} e=f \end{equation} \end{subequations}
\eqref{first} \end{document}`.
– leandriis Feb 18 '20 at 20:46subequationsenvironment is much easier and readers will understand the references very clearly. – egreg Feb 20 '20 at 18:19