To solve the equation $y - \frac{3}{4}y = 16$, we will follow these steps:

Step 1: Combine like terms

The left side of the equation has two terms with $y$. We can combine them:

$y - \frac{3}{4}y = \frac{4}{4}y - \frac{3}{4}y = \frac{1}{4}y$

So, the equation becomes:

$\frac{1}{4}y = 16$

Step 2: Solve for $y$

To isolate $y$, multiply both sides of the equation by 4 to eliminate the fraction:

$4 \times \frac{1}{4}y = 16 \times 4$

This simplifies to:

$y = 64$

Thus, the solution is $y = 64$.

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Would you like a more detailed explanation of the steps? Or do you have any other questions? Here are some related questions you might find useful:

1. How would the solution change if the equation were $y - \frac{5}{6}y = 18$?
2. What happens when the equation involves more than one fraction, such as $\frac{1}{3}y + \frac{1}{4}y = 7$?
3. How do you solve equations with variables on both sides, like $3y + 5 = 2y + 10$?
4. What are some methods to check if your solution is correct?
5. Can the equation $y - \frac{3}{4}y = 16$ have no solution? How would you determine that?

Tip: When solving equations with fractions, it’s often helpful to eliminate the fractions by multiplying both sides by the least common denominator (LCD).