Solve for y: -10y = 30. Simplify your answer as much as possible.
Understand the Problem
The question is asking to solve the equation -10y = 30 for the variable y and simplify the answer.
Answer
\( y = -3 \)
Answer for screen readers
The solution for the equation is ( y = -3 ).
Steps to Solve
- Isolate the variable y
To solve for $y$, divide both sides of the equation by -10.
$$ y = \frac{30}{-10} $$
- Simplify the fraction
Now, simplify the fraction on the right side.
$$ y = -3 $$
The solution for the equation is ( y = -3 ).
More Information
The equation (-10y = 30) represents a linear relationship, and finding (y) involves isolating it by performing arithmetic operations. In this case, dividing by -10 helps us solve for (y) clearly.
Tips
- Forgetting to divide by the negative sign: This can lead to an incorrect positive value for (y).
- Failing to simplify the fraction: Always reduce fractions to their simplest form.
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