What are the properties for these equations: 1) (15 * 12x) * y = y * (15 * 12x) 2) 22x * (3 * 4y) = 22x * (4y * 3) 3) if x = 4 and 4 = y, then x = y 4) (7x + 15) + 21 = 7x + (15 + 21)

1.  Commutative Property of Multiplication

2.  Commutative Property of multiplication

3.  Transitive Property of equality

4.  Associative Property of Addition

Step-by-step explanation:

1) (15 * 12x) * y = y * (15 * 12x)    a*(b*c) = (b*c)*a

2) 22x * (3 * 4y) = 22x * (4y * 3)   a*(b*c) = a*(c*b)

3) If x = 4 and 4 = y, then x = y    If a=b and b=c  then a=c

4) (7x + 15) + 21 = 7x + (15 + 21)   (a+b) +c = a+(b+c)

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