Let \( \vec{a} = 3\vec{i} + \vec{j} - 2\vec{k} \), \( \vec{b} = -5\vec{i} + 7\vec{j} \), and \( \vec{c} = 3\vec{i} + y\vec{j} \) be three vectors such that \( |\vec{a} - \vec{b} + \vec{c}| = \sqrt{141} \). If \( y_1 \) and \( y_2 \) are the values of \( y \) satisfying the given condition, then \( |y_1 - y_2| = \)