Happy New Year Equation
1. Image
2. MathJax
\begin{eqnarray*}
w + \ln |N| &=& \ln | ap^2 H + e^{ar} | + \ln |Y| \\
w &=& \ln | ap^2 H + e^{ar} | + \ln |Y| - \ln |N| \\
w &=& \ln | ap^2 H + e^{ar} | + \ln \left| \frac{Y}{N} \right| \\
w &=& \ln \left| \left( ap^2 H + e^{ar} \right) \cdot \frac{Y}{N} \right| \\
e^{w} &=& \left( ap^2 H + e^{ar} \right) \cdot \frac{Y}{N} \\
\left( ap^2 H + e^{ar} \right) Y &=& e^{w} \cdot N \\
ap^2 H y + e^{ar}Y &=& e^{w} \cdot N \\
ap^2 H y &=& e^{w} \cdot N - e^{ar}Y \\
H ap^2 y &=& Ne^{w} - Ye^{ar} \\
Happy &=& Ne^{w} - Ye^{ar}
\end{eqnarray*}
3. source
\begin{eqnarray*}
w + \ln |N| &=& \ln | ap^2 H + e^{ar} | + \ln |Y| \\
w &=& \ln | ap^2 H + e^{ar} | + \ln |Y| - \ln |N| \\
w &=& \ln | ap^2 H + e^{ar} | + \ln \left| \frac{Y}{N} \right| \\
w &=& \ln \left| \left( ap^2 H + e^{ar} \right) \cdot \frac{Y}{N} \right| \\
e^{w} &=& \left( ap^2 H + e^{ar} \right) \cdot \frac{Y}{N} \\
\left( ap^2 H + e^{ar} \right) Y &=& e^{w} \cdot N \\
ap^2 H y + e^{ar}Y &=& e^{w} \cdot N \\
ap^2 H y &=& e^{w} \cdot N - e^{ar}Y \\
H ap^2 y &=& Ne^{w} - Ye^{ar} \\
Happy &=& Ne^{w} - Ye^{ar}
\end{eqnarray*}