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

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

• A. 0
• B. 4
• C. -4
• D. -16

Answer: (C)

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.

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.