Solve for y: 4y + 3 = 19.

To solve the equation (4y + 3 = 19), we start by isolating the term with (y).

First, subtract 3 from both sides of the equation to remove the constant on the left:

[

4y + 3 - 3 = 19 - 3

]

This simplifies to:

[

4y = 16

]

Next, to solve for (y), we need to eliminate the coefficient of (y), which is 4. We can do this by dividing both sides of the equation by 4:

[

\frac{4y}{4} = \frac{16}{4}

]

This results in:

[

y = 4

]

Thus, the correct answer is 4. This solution process clearly shows each step of isolating (y) by manipulating the equation appropriately. When following such steps, it helps to systematically simplify the equation until the variable is isolated. This method is very effective for linear equations like this one.