To solve the equation:

\[
\frac{y - 0.3}{0.1} = 1
\]

we'll follow these steps:

1. Multiply both sides of the equation by 0.1 to eliminate the denominator:

\[
y - 0.3 = 0.1
\]

2. Add 0.3 to both sides to solve for \( y \):

\[
y = 0.1 + 0.3
\]

3. Simplifying the right-hand side:

\[
y = 0.4
\]

Thus, the solution is:

\[
y = 0.4
\]

Would you like more details or further clarification?

Here are 5 related questions to explore:

1. How do you solve equations with fractions like the one we just worked through?
2. How can multiplying both sides of an equation by the same number simplify the problem?
3. How would the solution change if the denominator was negative?
4. Can this equation be graphed, and what would the graph look like?
5. What are the properties of linear equations in one variable?

**Tip:** When solving equations involving fractions or decimals, multiplying both sides by the denominator helps eliminate the fraction and simplify the equation.

Discover how to solve the linear equation (y - 0.3) / 0.1 = 1 with this step-by-step guide. Learn about key algebra concepts such as eliminating fractions by multiplication and using basic properties of equality. Ideal for students in Grades 6-8.

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