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

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Prepare for the ASVAB Arithmetic Reasoning Test. Study with flashcards and multiple choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

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

Explanation:
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.

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