The problem asks to find the value of $y$ in a parallelogram, given that $m\angle D = (5y + 31)^\circ$ and $m\angle B = 96^\circ$.

1. Problem Description

The problem asks to find the value of $y$ in a parallelogram, given that $m\angle D = (5y + 31)^\circ$ and $m\angle B = 96^\circ$.

2. Solution Steps

In a parallelogram, opposite angles are equal.

Therefore, $m\angle D = m\angle B$.

So, we have the equation $5y + 31 = 96$.

Subtract 31 from both sides:

$5y = 96 - 31$

$5y = 65$

Divide both sides by 5:

$y = \frac{65}{5}$

$y = 13$

3. Final Answer

$y = 13$