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When subtracting fractions, the first step is to find common denominators. This means that the fractions you're working with need to have the same denominator. The denominator is the bottom number in a fraction. For the exercise \(\frac{y}{17} - \frac{9}{17}\), the denominators are already the same (17).

Having common denominators lets you focus on subtracting the numerators, which are the top numbers in the fractions. Always make sure the denominators match before you proceed. If they don't, you'll need to find a common denominator first. But in this case, they're already the same, making your work a bit easier.

Once you have common denominators, the next step is to subtract the numerators. The numerator is the top number of a fraction. For our example: \(\frac{y}{17} - \frac{9}{17}\), the numerators are \(y\) and \(9\).

To subtract these fractions, you simply perform the operation on the numerators while keeping the denominator the same. So, in this case, you subtract \(9\) from \((y)\), giving you \((y - 9)\). The resulting fraction will be \(\frac{y - 9}{17}\). This method ensures that the fractions are subtracted correctly without changing their relative sizes.

The solution \(\frac{y - 9}{17}\) introduces a bit of basic algebra. Algebra involves using symbols and letters to represent numbers in equations and formulas. Here, \(y\) is a variable, which means it can represent any number.

The expression \((y - 9)\) means that you're subtracting 9 from whatever value \(y\) might have. In fraction form, \(\frac{y - 9}{17}\), the variable \(y\) allows you to plug in different numbers to see how the fraction changes. Understanding variables and how to manipulate them is an essential part of algebra. It helps you solve a wide range of mathematical problems.

Remember, the key steps when working with this problem involve finding a common denominator, working with numerators, and applying basic algebra rules to simplify the expression.