My equation

Y=4Y+30

I did;

Y-4Y=-3Y

My equation

-3Y=30--->30/-3

I get -10

yet the checking does not work.

Does the negative go on the whole 3Y or just the 3?

3 answers

Your solution and answer are actually correct. :)
Let's do the checking part:
Y = 4Y + 30
if Y = -10,
-10 = -10(4) + 30
-10 = -40 + 30
-10 = -10
Since both sides of the equation are equal, then Y is indeed equal to -10.

Hope this helps :3
I don't have to make it positive?
No, you don't have to.
30 / 3 = 10
Here, 10 is positive because both 30 and 3 are positive.
30 / -3 = -10
While here, one of them is negative so the answer must also be negative.

*Note that if however, both 30 and 3 are negative, the answer is positive.