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To solve equations with decimals, a great starting point is to clear the decimals. This makes the math easier and helps avoid mistakes.

One effective method to clear decimals is by multiplying all terms in the equation by a power of 10. Choose a power that matches the largest number of decimal places in the equation. For example, in the equation \(0.095 + 2.75y = 0.7\), we have decimal parts up to the thousandths place. Therefore, we multiply everything by 1000:
\[1000 \times 0.095 + 1000 \times 2.75y = 1000 \times 0.7\]

This simplifies to:
\[95 + 2750y = 700\]

By clearing the decimals, we've transformed the problem into an equation with whole numbers, which is easier to deal with.

After clearing decimals, the next key step is isolating the variable. This means getting the variable by itself on one side of the equation.

In our simplified equation \(95 + 2750y = 700\), we need to isolate \(y\). To do this, subtract 95 from both sides of the equation:
\[2750y = 700 - 95\]

This simplifies to:
\[2750y = 605\]

Isolating the variable helps us focus on solving for \(y\) without any other numbers in the way.

With the variable isolated, the next step is solving for \(y\). This is done by dividing both sides by the coefficient of \(y\).

In this case, our isolated equation is \(2750y = 605\). To solve for \(y\), divide both sides by 2750:
\[y = \frac{605}{2750}\]

By dividing, we find the value of \(y\). Always remember to simplify the fraction if possible.

Simplifying fractions is an important algebraic skill. It makes the final answer easier to understand.

Starting with \(y = \frac{605}{2750}\), we check for common factors. Both 605 and 2750 can be divided by 5. Simplifying, we get:
\[y = \frac{121}{550}\]

We can simplify further by dividing both the numerator and the denominator by 11, their greatest common divisor:
\[y = \frac{11}{50}\]

The simplified fraction \( \frac{11}{50}\) is our final answer, offering the cleanest representation of \(y\) as a fraction.