Factor. \[ 15 y^{2}+31 y+2 \]

Step 1 ：Factor the quadratic equation \(15 y^{2}+31 y+2\).

Step 2 ：The factored form of the quadratic equation \(15 y^{2}+31 y+2\) is \((5y + 1)(3y + 2)\).

Step 3 ：\(\boxed{(5y + 1)(3y + 2)}\) is the final answer.