42=18-4v

I do not understand this AT ALL. If y'all could explain how to do this to me, that would be EXTREMELY helpful. Thank you!

42=18-4v

It's the same as

18 - 4v = 42
Subtract 18 from both sides.

-4v = 24
Divide both sides by -4
v = -6

I assume the instructions were to "solve"

The quest is to isolate the variable on one side of the equation
and have everything else on the other side, so ....

42=18-4v
let's add 4v to both sides
42 + 4v = 18 - 4v + 4v , resulting in the -4v+4v to cancel out
42 + 4v = 18
don't like that 42 on the left side, so
subtract 42 from both sides
42 + 4v - 42 = 18 - 42 , the 42-42 on the left cancels out
4v = - 24
I don't like the 4 in front of the 4v, would prefer to have just "v"
The 4 is "connected" to 4v by multiplication, so let's divide both sides by 4
4v/4 = -24/4

to get: v = -6

Thank you so much!

To solve this equation, you need to isolate the variable 'v'. Let's go through the steps:

1. Start by subtracting 18 from both sides of the equation. This is done to move the constant term to the right side of the equation:
42 - 18 = -4v

Simplifying the left side gives us:
24 = -4v

2. Now, divide both sides of the equation by -4 to isolate 'v':
24 / -4 = -4v / -4

The -4 on the right side cancels out:
-6 = v

So the solution to the equation is v = -6.

To explain the process further, when you perform an operation on one side of the equation, you must also perform the same operation on the other side in order to maintain equality. By subtracting 18 from both sides, we eliminated the 18 on the left side and brought it to the right side. Similarly, when dividing both sides by -4, we isolated 'v' on the right side.