Solve for y: 4y + 16 = 0. What is the value of y?

To solve the equation ( 4y + 16 = 0 ), we want to isolate ( y ). The first step is to move the constant term (16) to the other side of the equation. We do this by subtracting 16 from both sides:

[ 4y + 16 - 16 = 0 - 16

]

This simplifies to:

[ 4y = -16 ]

Next, to solve for ( y ), we need to divide both sides of the equation by 4:

[ y = \frac{-16}{4} ]

This simplifies to:

[ y = -4 ]

Thus, the value of ( y ) is -4. This means that when you substitute -4 back into the original equation, it will satisfy it, confirming our solution is correct.