What is the solution for y in the equation 7y = 3y - 12?

What is the solution for y in the equation 7y = 3y - 12?

• A. -2
• B. -3
• C. 2
• D. 3

Answer: (B)

To find the solution for \( y \) in the equation \( 7y = 3y - 12 \), you begin by isolating \( y \). First, subtract \( 3y \) from both sides to combine like terms. This gives you: \[ 7y - 3y = -12 \] This simplifies to: \[ 4y = -12 \] Now, to solve for \( y \), divide both sides of the equation by 4: \[ y = \frac{-12}{4} \] This results in: \[ y = -3 \] Thus, the solution for \( y \) is -3. This indicates that when you replace \( y \) with -3 in the original equation, both sides of the equation will still be equal, confirming that -3 is indeed the correct solution.

To find the solution for ( y ) in the equation ( 7y = 3y - 12 ), you begin by isolating ( y ). First, subtract ( 3y ) from both sides to combine like terms. This gives you:

[

7y - 3y = -12

]

This simplifies to:

[

4y = -12

]

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

[

y = \frac{-12}{4}

]

This results in:

[

y = -3

]

Thus, the solution for ( y ) is -3. This indicates that when you replace ( y ) with -3 in the original equation, both sides of the equation will still be equal, confirming that -3 is indeed the correct solution.