3/4 - y/2 = 1/4

solve for y

It's your turn, now, Joe Joe.

How do YOU think you should solve this problem?

I'll be glad to check your answer.

14/15

How did you get that?

Where on earth did you find a denominator of 15?

I'll give you a start..3/4-2y/4=1/4, 3-2y=1...

To solve the equation for y, you need to isolate the variable on one side of the equation. Here's how you do it step by step:

1. Start with the given equation: 3/4 - y/2 = 1/4.

2. To eliminate fractions, you can multiply all the terms in the equation by the least common denominator (LCD) of the fractions involved. In this case, the LCD is 4. Multiply each term by 4:

(3/4)*4 - (y/2)*4 = (1/4)*4.

Simplifying the equation gives you: 3 - 2y = 1.

3. Now, your equation is a simple linear equation. To solve for y, isolate the variable on one side of the equation. Begin by moving the constant term (1) to the other side by subtracting it from both sides:

3 - 1 - 2y = 1 - 1.

Simplifying further, you have: 2 - 2y = 0.

4. Next, simplify the equation by dividing each term by the coefficient (-2) of y:

(2 - 2y)/(-2) = 0/(-2).

This results in: -1 + y = 0.

5. Finally, solve for y by isolating the variable. Move the constant term (-1) to the other side by adding 1 to both sides:

-1 + 1 + y = 0 + 1.

This simplifies to: y = 1.

Therefore, the solution to the equation is y = 1.