If $20\times (-\mathrm{y})+20\times 14=-40$, then find y.

We need to solve $20\times (-\mathrm{y})+20\times 14=-40$ for y. 

Using the distributive law, $\mathrm{a}\left(\mathrm{b}+\mathrm{c}\right)=\mathrm{ab}+\mathrm{ac}$

$20\times \left(-\mathrm{y}\right)+20\times 14=-40$

$\Rightarrow 20\times \left(-\mathrm{y}+14\right) =-40$

$\Rightarrow \left(-\mathrm{y}+14\right)=\frac{-40}{20}$

$\Rightarrow -\mathrm{y}=-14-2$

$\Rightarrow \mathrm{y}=16$

Hence, the value of y is 16.