#### Answer

$-5$

#### Work Step by Step

Solve for $x$
$\frac{13x-6}{4}=5x+2$
$13x-6=4(5x+2)$
$13x-6=20x+8$
$13x-20x=8+6$
$-7x=14$
$x=-2$
Solve for $y$
$5-y=7(y+4)+1$
$5-y=7y+28+1$
$5-y=7y+29$
$5-29=7y+y$
$-24=8y$
$y=-3$
Substitute $x$ and $y$ values in
$x^{2}-(xy-y) = (-2)^{2}-((-2 \times -3)-(-3))$
$=4-(6+3)$
$=4-9$
$x^{2}-(xy-y) = -5$