The equation you provided is:

\[
5y = \frac{7}{5}
\]

To solve for \( y \), we can divide both sides of the equation by 5:

\[
y = \frac{7}{5} \div 5
\]

Dividing by 5 is equivalent to multiplying by \( \frac{1}{5} \), so:

\[
y = \frac{7}{5} \times \frac{1}{5} = \frac{7}{25}
\]

Thus, the solution is:

\[
y = \frac{7}{25}
\]

Would you like any further details on the solution?

Here are 5 related questions to expand on this:

1. How do you solve equations with fractions on both sides?
2. What are the properties of equality used in solving equations?
3. How can you check if the solution to an equation is correct?
4. What happens if we have an equation like \( 5y = \frac{7}{x} \)?
5. How do you handle equations where the variable is in the denominator?

**Tip:** When dividing by fractions, always remember to multiply by the reciprocal of the divisor.

Explore the detailed step-by-step solution to solve the linear equation 5y = 7/5. Learn about key algebraic concepts like division of fractions and the multiplicative inverse, suitable for students in Grades 6-8.

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