Happy New Year Calculation

-\|/-

If the following is true,

$w+ln\left|N\right|=ln\left|y\right|+ln|\mathrm{aH}{p}^2-e^{\mathrm{ar}}-\frac{{45}^2-2^2}{y}|$

then, $w=ln\left|\right(y\left)\right(\mathrm{aH}{p}^2-e^{\mathrm{ar}}-\frac{{45}^2-2^2}{y}\left)\right|-ln\left|N\right|$

⇒ $w=ln\left|\right(\frac{y}{N}\left)\right(\mathrm{aH}{p}^2-e^{\mathrm{ar}}-\frac{{45}^2-2^2}{y}\left)\right|$

⇒ ${\mathrm{e}}^w=\left(\frac{y}{N}\right)(\mathrm{aH}{p}^2-e^{\mathrm{ar}}-\frac{(45-2)(45+2)}{y})$

⇒ ${\mathrm{e}}^w=\frac{\mathrm{aH}{p}^{2}y}{N}-\frac{e^{\mathrm{ar}}y}{N}-\frac{2025-90+90-4}{N}$

⇒ ${\mathrm{e}}^{w}N=\mathrm{aH}{p}^{2}y-e^{\mathrm{ar}}y-2021$

⇒ $2021=\mathrm{Happy}-N{\mathrm{e}}^w-y{e}^{\mathrm{ar}}$

... to you all.

-/|\-