SOLUTION: Hi, I have a problem in which the first part of the equation is 6[8-(Y+4)]. I have the solution to this problem, and I understand all the operations except, the first step whic

Algebra ->  Algebra  -> Distributive-associative-commutative-properties -> SOLUTION: Hi, I have a problem in which the first part of the equation is 6[8-(Y+4)]. I have the solution to this problem, and I understand all the operations except, the first step whic      Log On

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Question 162646: Hi,
I have a problem in which the first part of the equation is 6[8-(Y+4)]. I have the solution to this problem, and I understand all the operations except, the first step which is to remove the parentheses around Y+4 and to change the sign here to Y-4. Then, this part of the equation becomes 6(8-Y-4).
What rule is being applied here that allows me to change the order of operations by removing the parentheses and changing the sign from + to - ?
Thank you very much,
Taylor
Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
It's the distributive property.
You are distributing the (-1) that is in front of the parentheses.
Here it is step by step.
.
.
.
%288-%28Y%2B4%29%29=8-1%28Y%2B4%29
%288-%28Y%2B4%29%29=8%2B%28-1%29%28Y%2B4%29
%288-%28Y%2B4%29%29=8%2B%28%28-1%29%28Y%29%2B%28-1%29%284%29%29
%288-%28Y%2B4%29%29=8%2B%28-Y%29%2B%28-4%29
%288-%28Y%2B4%29%29=8-Y-4