If (0.25)y = 32, find the value of y.If (0.25)y = 32, find the value of y.

To solve the equation \((0.25)y = 32\) for \(y\), follow these steps:

1. Start by isolating \(y\). You can do this by dividing both sides of the equation by 0.25:

\[
y = \frac{32}{0.25}
\]

2. Simplify the division:

\[
y = \frac{32}{0.25} = 128
\]

So, the value of \(y\) is \(128\).

Would you like more details or have any questions? Here are some related questions you might find useful:

1. How would you solve the equation if the coefficient was a fraction, like \( \frac{1}{4}y = 32 \)?
2. What steps are involved in solving an equation with a decimal coefficient?
3. How do you verify that the solution \( y = 128 \) is correct?
4. What is the significance of the coefficient in equations of the form \( cy = d \)?
5. How would the equation change if it were \( (0.25)y = 16 \) instead of \( 32 \)?

**Tip:** When solving equations involving decimals, it can be helpful to convert the decimals to fractions to simplify the calculations.

Learn how to solve the equation (0.25)y = 32 for y with a detailed step-by-step solution. This problem involves solving an equation with a decimal coefficient and covers key concepts in equations and decimals. Suitable for students in Grades 6-8.

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