What is the solution for y: 4y + 6 = 2 (y + 8)?

 Let's begin by simplifying the right-hand side of the equation:

2(y + 8) = 2y + 16

Now we can substitute this expression back into the original equation and solve for y:

4y + 6 = 2y + 16

Subtracting 2y from both sides gives:

2y + 6 = 16

Subtracting 6 from both sides gives:

2y = 10

Finally, dividing both sides by 2 gives:

y = 5

Therefore, the solution for y is y = 5.