Prove x×y=y×z then x=y when z doesn't equal 0

X = y
x times y = y times z

we can use the number 2 for x
x=2
y=2

2 x 2 = 2 x z
4 = 2z

divide both sides by 2

2 = z

So, x=y=z=2 they are the same value no matter what number is used.