maths help please

[daviddem]

75F - 201.5Fy = -201.5y + 111.5

have we simply added 75F and subtracted 201.5Fy to/from both sides of the equation here? ie making sure the equation stays "balanced" or whatever the term is?

Yes, it's correct the ultimate goal is to isolate F so we do what you said to get all the terms containing a F on one side of the equation and all the ones that don't on the other side.

F(75 - 201.5y) = -201.5y + 111.5

no idea what's happened at this point.

Again the goal is to isolate F and this is just stemming from the distributive property of multiplication:
A*(B+C) = A*B + A*C
or with numbers for example:
you can see that 3*(5+4) = 3*9 = 27, right.
But that is also the same as 3*5 + 3*4 = 15 + 12 = 27, right?
Spoon also explains it here (part 5): http://www.flopturnriver.com/pokerfo...ad-180192.html

F = (-201.5y + 111.5)/(75 - 201.5y)

no idea whats happened here because i need to know what happened in the last step.

Well explained by Mr Bucket above, we want to get F alone on one side, so we divide both sides by 75 -201.5y

[rpm]

Again the goal is to isolate F and this is just stemming from the distributive property of multiplication:
A*(B+C) = A*B + A*C
or with numbers for example:
you can see that 3*(5+4) = 3*9 = 27, right.
But that is also the same as 3*5 + 3*4 = 15 + 12 = 27, right?

i understand the above. but i don't understand how that process is related to what we have done with the equation.

75F - 201.5Fy = -201.5y + 111.5
F(75 - 201.5y) = -201.5y + 111.5

namely i don't understand how we can do/why we do the following

"we are just dividing 75F and 201.5Fy by F, and then multiplying them by it. You can see that these expressions are equal by multiplying F times both terms."

forgive my stupidity.

[Nekrogovner]

i understand the above. but i don't understand how that process is related to what we have done with the equation.

75F - 201.5Fy = -201.5y + 111.5
F(75 - 201.5y) = -201.5y + 111.5

namely i don't understand how we can do/why we do the following

"we are just dividing 75F and 201.5Fy by F, and then multiplying them by it. You can see that these expressions are equal by multiplying F times both terms."

forgive my stupidity.

Lets put it in a simple perspective, because you still seem a bit confused (nhf, i know lots of ppl hate maths).

I think in english its a math term called distribution.

This is what happens:

AxB + AxC = Ax (B+C)

Or lets try an example with some real numbers.

15 + 25 = 40
15 + 25 = 3x5 + 5x5 = 5x (3+5) = 5x 8 = 40