Step 1 :The given equation is \(3y + 6 = -2(y + 2)\).
Step 2 :First, distribute the -2 on the right side of the equation to get \(3y + 6 = -2y - 4\).
Step 3 :Next, combine like terms to get \(5y + 6 = -4\).
Step 4 :Then, subtract 6 from both sides to isolate y, resulting in \(5y = -10\).
Step 5 :Finally, divide both sides by 5 to solve for y, giving the solution \(y = \boxed{-2}\).