# Another Non-Homogenous Diophantine Equation

$\large 8x^3 - 4 = y(6x-y^2)$

Find all integer solutions to the above expression. If these solutions can be written as $$(x_1, y_1), (x_2, y_2), \ldots, (x_n, y_n)$$, write your answer as

$n+\displaystyle \sum_{i=1}^n (x_i+y_i).$

×