Question

3y=3/4(xy+w) solve for y

Answer 1

y = w/(4 - x)

Explanation:

Step 1: Write equation

3y = 3/4(xy + w)

Step 2: Solve for y

1. Multiply: 3y = (3xy + 3w)/4
2. Multiply both sides by 4: 12y = 3xy + 3w
3. Subtract 3xy on both sides: 12y - 3xy = 3w
4. Factor out y: y(12 - 3x) = 3w
5. Divide both sides by 12 - 3x: y = 3w/(12 - 3x)
6. Factor out 3: y = 3w/[3(4 - x)]
7. Simplify: y = w/(4 - x)