#### Answer

The simplified form of the provided equation is $8x+34y$.

#### Work Step by Step

Consider the provided equation
$4\left( 5x+4y \right)-2\left( 6x-9y \right)$
Simplify this equation as follows:
$\begin{align}
& \left( 20x+16y \right)-\left( 12x-18y \right) \\
& \left( 20x-12x \right)+\left( 16y+18y \right) \\
& 8x+34y \\
\end{align}$
The simplified equation is $8x+34y$.