Solve for y: y/3 = -47. Simplify your answer as much as possible.
Understand the Problem
The question is asking to solve the equation y/3 = -47 for the variable y and to simplify the answer as much as possible.
Answer
$y = -141$
Answer for screen readers
The final answer is: $y = -141$
Steps to Solve
- Multiply both sides by 3
To eliminate the fraction, multiply both sides of the equation by 3: $$ 3 \cdot \frac{y}{3} = 3 \cdot (-47) $$
- Simplify the equation
The left side simplifies as follows: $$ y = -141 $$
- Final verification
The solution can be verified by substituting $y = -141$ back into the original equation: $$ \frac{-141}{3} = -47 $$
This confirms that the solution is correct.
The final answer is: $y = -141$
More Information
This result indicates that when $y$ is divided by 3, it equals -47. Thus, the value of $y$ that satisfies the equation is -141.
Tips
- Forgetting to multiply both sides of the equation by the same number can lead to incorrect results.
- Not simplifying the left side properly after multiplication is another common error.
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