Step by step
The question
Question: solve y − 4 = 9.
y − 4 = 9
1 Remove the − 4
We want y by itself.
The − 4 is in the way.
To remove − 4, we add 4.
We do it on both sides.
Why both sides?
The = sign means both sides are the same amount.
If we change only one side, they are not the same any more.
y − 4 + 4 = 9 + 4
− 4 and + 4 make zero.
Cross them out.
9 + 4 = 13.
9 + 4 = 13
So y = 13!
y = 13
2 Check
Let's check: put 13 in place of y.
Check: 13 − 4 = 9
We get 9, the same as the right side.
So y = 13 is right!
Let's look back.
First: remove the − 4.
Last: check.
Answer
y = 13