I used an aligned subequations environment, but for some reason my equations are aligned at the right side of the paper and falling off. I want them to be centered, and aligned at the = sign, with the equation number not below but at the right side of the equation. This is my code:
documentclass{report}
usepackage[utf8]{inputenc}
usepackage[T1]{fontenc}
usepackage{geometry}
geometry{a4paper}
usepackage{mathtools}
usepackage{graphicx}
usepackage{booktabs}
usepackage{amsmath}
usepackage{amssymb}
usepackage{tikz} %for simple drawings and diagram
usetikzlibrary{fit,shapes.geometric}
usetikzlibrary{arrows}
usetikzlibrary{shapes}
usepackage{pgfplots}
usepackage{caption}
usepackage{subcaption}
%page numbering abstract
usepackage{etoolbox}
patchcmd{abstract}{titlepage}{clearpage}{}{}
patchcmd{andabstract}{endtitlepage}{clearpage}{}{}
%for bibliography
usepackage{natbib}
bibliographystyle{apa}
%Includes "References" in the table of contents
usepackage[nottoc]{tocbibind}
%to use subsections
usepackage{titlesec}
titleformat{chapter}[hang]
{normalfonthugebfseries}
{thechapter}{20pt}{huge}
begin{document}
chapter{Results}
section{Elasticity analysis}
begin{subequations} allowdisplaybreaks
begin{align}
frac{partial lambda}{partial q_{T,1}}&=frac{q_{T,2}n_Tf_T(1-v)lambda^3-q_{T,2}n_Tf_T(1-v)(q_{L,2}q_{L,1}n_Lf_L+s_{L,2}s_{L,1})lambda^2}{denominator} \
frac{partial lambda}{partial q_{T,2}}&=frac{q_{T,1}n_Tf_T(1-v)lambda^3-q_{T,1}n_Tf_T(1-v)(q_{L,2}q_{L,1}n_Lf_L+s_{L,2}s_{L,1})lambda^2}{denominator} \
frac{partial lambda}{partial q_{L,1}}&=frac{q_{L,2}n_Lf_Llambda^3-q_{L,2}n_Lf_L(q_{T,2}q_{T,1}n_Tf_T(1-v)+s_{T,2}s_{T,1})2lambda}{denominator} \
frac{partial lambda}{partial q_{L,2}}&=frac{q_{L,1}n_Lf_Llambda^3-q_{L,1}n_Lf_L(q_{T,2}q_{T,1}n_Tf_T(1-v)+s_{T,2}s_{T,1})2lambda}{denominator} \
frac{partial lambda}{partial a_{T,1}}&=frac{s_{T,2}lambda^3-s_{T,2}(q_{L,2}q_{L,1}n_Lf_L+s_{L,2}s_{L,1}lambda^2}{denominator} \
frac{partial lambda}{partial s_{T,2}}&=frac{s_{T,1}lambda^3-s_{T,1}(q_{L,2}q_{L,1}n_Lf_L+s_{L,2}s_{L,1}lambda^2}{denominator} \
frac{partial lambda}{partial s_{L,1}}&=frac{s_{L,2}lambda^3-(s_{L,2}q_{T,2}q_{T,1}n_Tf_T(1-v)+s_{L,2}s_{T,2}s_{T,1})lambda^2}{denominator} \
frac{partial lambda}{partial s_{L,2}}&=frac{s_{L,1}lambda^3-(s_{L,1}q_{T,2}q_{T,1}n_Tf_T(1-v)+s_{L,2}s_{T,2}s_{T,1})lambda^2}{denominator} \
frac{partial lambda}{partial n_T}&=frac{q_{T,2}q_{T,1}f_T(1-v)lambda^3-q_{T,2}q_{T,1}f_T(1-v)(q_{L,2}q_{L,1}n_Lf_L+s_{L,2}s_{L,1})lambda^2}{denominator} \
frac{partial lambda}{partial f_T}&=frac{q_{T,2}q_{T,1}n_T(1-v)lambda^3-q_{T,2}q_{T,1}n_T(1-v)(q_{L,2}q_{L,1}n_Lf_L+s_{L,2}s_{L,1})lambda^2}{denominator} \
frac{partial lambda}{partial n_L}&=frac{q_{L,2}q_{L,1}f_Llambda^3-q_{L,2}q_{L,1}f_L(q_{T,2}q_{T,1}n_Tf_T(1-v)+s_{T,2}s_{T,1})lambda^2}{denominator} \
frac{partial lambda}{partial f_L}&=frac{q_{L,2}q_{L,1}n_Llambda^3-q_{L,2}q_{L,1}n_L(q_{T,2}q_{T,1}n_Tf_T(1-v)+s_{T,2}s_{T,1})lambda^2}{denominator} \
frac{partial lambda}{partial v}&=frac{-q_{T,2}q_{T,1}n_Tf_Tlambda^3+q_{T,2}q_{T,1}n_Tf_T(q_{L,2}q_{L,1}n_Lf_L+s_{L,2}s_{L,1}lambda^2}{denominator} \
text{with }
denominator=4lambda^3-(q_{L,2}q_{L,1}n_Lf_L+s_{L,2}s_{L,1}+q_{T,2}q_{T,1}n_Tf_T(1-v)+s_{T,2}s_{T,1})3lambda^2 \
+(q_{L,2}q_{L,1}n_Lf_L+s_{L,2}s_{L,1})(q_{T,2}q_{T,1}n_Tf_T(1-v)+s_{T,2}s_{T,1})2lambda
end{align}
end{subequations}