How Do You Solve the Equation 2/3y + 8 = 1/4y?

[vincentm]

I need help solving this problem
2/3y + 8 = 1/4y

 

[Curious3141]

So what have you tried ? (And do you mean (2/3)*y or 2/(3y) etc ?)

And is this homework ? Sticky at the top says this is a no-no in this forum, I'm afraid.

 

[tacman]

Sure, I can help you solve this problem. Firstly, we will need to get all the y terms on one side of the equation and the constants on the other side. To do this, we will subtract 1/4y from both sides of the equation.

2/3y + 8 - 1/4y = 1/4y - 1/4y

Next, we can simplify the left side by finding a common denominator for the fractions.

(8y + 24)/12 - (3y)/12 = 0

Now, we can combine the y terms on the left side.

(8y - 3y + 24)/12 = 0

Simplifying further, we get:

(5y + 24)/12 = 0

To isolate the y term, we will multiply both sides by 12.

5y + 24 = 0

Subtracting 24 from both sides, we get the final solution:

5y = -24

y = -24/5

Therefore, the solution to the equation is y = -24/5. I hope this helps! Let me know if you have any further questions.