$-8(-4 y-2)=-5 y+7$

Step 1 ：\(-8(-4y-2)=-5y+7\)

Step 2 ：Distribute \(-8\) to both terms inside the parentheses: \(32y + 16 = -5y + 7\)

Step 3 ：Add \(5y\) to both sides: \(37y + 16 = 7\)

Step 4 ：Subtract \(16\) from both sides: \(37y = -9\)

Step 5 ：Divide both sides by \(37\): \(y = \boxed{-\frac{9}{37}}\)