Question

Simplify: 3/4y - 2/4y + 7 = 2/4y - 1. Show your work.
help please

Answer 1

I'm assuming the equation is

`(3)/(4)y - (2)/(4)y+7 = (2)/(4)y-1`

Let me know if the equation is different so I can update the solution.

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Fractions are a pain to deal with, so it's best to eliminate them whenever we can. In equations like this, we can multiply both sides by 4 since this is the LCD (which stands for "lowest common denominator").

If we multiply both sides by 4, then all the denominators of 4 will cancel.

We'll have these steps:

`(3)/(4)y - (2)/(4)y+7 = (2)/(4)y-1\\\\4\left((3)/(4)y - (2)/(4)y+7\right) = 4\left((2)/(4)y-1\right)\\\\3y - 2y + 28 = 2y - 4 \ \ \text{ ... denominators cancel after distributing}\\\\y + 28 = 2y - 4\\\\y- 2y =- 4-28\\\\-y = -32\\\\y = (-32)/(-1)\\\\y = 32\\\\`

Final Answer: y = 32

Answer 2

`y=32`

Explanation:

Given the following question:


`(3)/(4)y-(2)/(4)y+7=(2)/(4)y-1`

`(3)/(4)y-(2)/(4)y+7-7=(2)/(4)y-1-7`

`(3)/(4)y-(2)/(4)y=(y)/(2)-8`

`(3)/(4)y-(2)/(4)y-(y)/(2)=(y)/(2)-8-(y)/(2)`

`-(y)/(4)=-8`

`4\left(-(y)/(4)\right)=4\left(-8\right)`

`(-y)/(-1)=(-32)/(-1)`

`y=32`

Therefore "y = 32."

Hope this helps.