How do you solve -6y - 48= 8( y + 8)?

$y = - 8$
Distribute the 8, which gets you $8 y + 64$ on the right. Get the variable on one side $- 6 y - 8 y = 64 + 48$. Simplifying to $- 14 y = 112$, to $y = \frac{112}{-} 14$, and finally $y = - 8$.