To solve the equation, we can start by simplifying the left side of the equation:

x(y+3) + 3y = -16

Using the distributive property, we can expand the expression:

xy + 3x + 3y = -16

Now, let's rearrange the terms to group the x and y variables together:

xy + 3y + 3x = -16

Next, we can factor out the common factor of y from the first two terms:

y(x + 3) + 3x = -16

Now, let's rearrange the terms again:

3x + y(x + 3) = -16

Finally, we can divide both sides of the equation by (x + 3) to solve for y:

y = (-16 - 3x)/(x + 3)

Therefore, the solution for y in terms of x is y = (-16 - 3x)/(x + 3).