To solve this equation for x and y, we need to simplify it first.

5(x - y) = 4y + 4

Expand the left side:

5x - 5y = 4y + 4

Now, let's isolate the variables by moving all the terms with y to one side and the constant terms to the other side:

5x = 9y + 4

Next, we can isolate the x variable by dividing by 5:

x = (9y + 4) / 5

Now, we can substitute this expression for x in the equation 5(x - y) = 4y + 4:

5((9y + 4) / 5 - y) = 4y + 4

Simplify the equation:

9y + 4 - 5y = 4y + 4

4y + 4 = 4y + 4

Since the variables are eliminated, this equation has infinite solutions. Any value of y will result in x = y as well.