Solve for y:
y^3 + 2 y^2 + 16 y + 32 = 0
The left hand side factors into a product with two terms:
(y + 2) (y^2 + 16) = 0
Split into two equations:
y + 2 = 0 or y^2 + 16 = 0
Subtract 2 from both sides:
y = -2 or y^2 + 16 = 0
Subtract 16 from both sides:
y = -2 or y^2 = -16
Take the square root of both sides:
y = -2 or y = 4i or y = -4i