Answer
$x = 6$
$y = 5$
Work Step by Step
The diagonals of a parallelogram bisect one another; therefore, we can set the two bisected segments of each diagonal equal to one another. Let's start with the diagonal in which the segments have the same variable:
$4x - 4 = 3x + 2$
Subtract $3x$ from each side of the equation to move variables to the left side of the equation:
$x - 4 = 2$
Add $4$ to each side of the equation to solve for $x$:
$x = 6$
Now, we can set the other two segments on the other diagonal equal to one another:
$2y + 2 = 2x$
Substitute $6$ for $x$:
$2y + 2 = 2(6)$
Multiply first, according to order of operations:
$2y + 2 = 12$
Subtract $2$ from each side of the equation to move constants to the right side of the equation:
$2y = 10$
Divide both sides of the equation by $2$ to solve for $y$:
$y = 5$
