Verified answer

the distributive property is probably a little self-explanatory.

its like when you "distribute" the variables, and the numbers that are alike with each other.

in your equation:

4y - 8 - 2y + 5 = 0

4y and 2y are alike because they both have the "y" variable.

and 8 and 5 are alike because they are numbers.

so your equation becomes 2y - (-3)

this is because 4y - 2y = 2y and -8 + 5 = -3

i hope this helps.

=]

Move the terms around to match each other (4y-2y-8+5=0)

Combine like terms (2y-3=0)

Move the constant over (2y=3)

Divide both sides by 2 (y=1.5)

The distributive property applies to problems with parentheses. For example: 2(y+3)=0.

The distributive property tells you to multiply each term inside the parentheses by the term on the outside. 2y+6=0

This only works if the term is multiplied like in the above example. This would not be distributive: 2+(y+3)=0

4y-8-2y+5=0

regroup: 4y-2y-8+5=0

4y-2y=2y

-8+5=-3

so now you have,

2y-3=0

bring the 3 over by adding 3 to both sides

2y=3

divide both sides by 2

y=3/2

or

y=1.5

You're using the commutative property to change the grouping(8+10=10+8 property)