To solve the equation \(xy - (xy + 10x + 14y - 140) = xy + 4\), let's simplify the left side first.
Distribute the negative sign on the left side: \[ xy - xy - 10x - 14y + 140 = xy + 4 \]
The \(xy\) terms on the left cancel out: \[ -10x - 14y + 140 = xy + 4 \]
Rearranging the equation gives: \[ -10x - 14y + 140 - 4 = xy \] \[ -10x - 14y + 136 = xy \]
This can also be rearranged as: \[ xy + 10x + 14y - 136 = 0 \]
Now, this equation can be treated as a polynomial in two variables \(x\) and \(y\). If you need a specific solution or further analysis (like finding points or solutions for specific values of \(x\) or \(y\)), please let me know!