What is the solution for y in the equation 4y - 7 = 5?

What is the solution for y in the equation 4y - 7 = 5?

• A. 1
• B. 2
• C. 3
• D. 4

Answer: (C)

To solve the equation \( 4y - 7 = 5 \) for \( y \), we need to isolate \( y \) on one side of the equation. First, add 7 to both sides of the equation: \[ 4y - 7 + 7 = 5 + 7 \] \[ 4y = 12 \] Next, divide both sides by 4 to solve for \( y \): \[ y = \frac{12}{4} \] \[ y = 3 \] Therefore, the solution for \( y \) is 3. This aligns with the correct response from the provided choices. The process clearly demonstrates the necessary steps of addition and division that isolate \( y \).

To solve the equation ( 4y - 7 = 5 ) for ( y ), we need to isolate ( y ) on one side of the equation.

First, add 7 to both sides of the equation:

[ 4y - 7 + 7 = 5 + 7 ]

[ 4y = 12 ]

Next, divide both sides by 4 to solve for ( y ):

[ y = \frac{12}{4} ]

[ y = 3 ]

Therefore, the solution for ( y ) is 3. This aligns with the correct response from the provided choices. The process clearly demonstrates the necessary steps of addition and division that isolate ( y ).