SOLUTION: Solve for y: (1/3)(3y + 12) = � 5y � 4(y � 6) Solve for x: (4 + 3x)/5 + (7 � x)/3 = (7/15) Solve for x: (x � 5)/3 � 3/2 = (4x + 7)/6 Name the property of real number

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Question 62320: Solve for y: (1/3)(3y + 12) = � 5y � 4(y � 6)
Solve for x: (4 + 3x)/5 + (7 � x)/3 = (7/15)

Solve for x:
(x � 5)/3 � 3/2 = (4x + 7)/6
Name the property of real numbers illustrated below. Be specific with the naming (include �of addition� or �of multiplication,� if applicable).
8 * (4 * 9) = (8 * 4) * 9

Answer by checkley71(8403) (Show Source):
You can put this solution on YOUR website!
I'LL DO THE FIRST TWO FOR YOU.
(1/3)(3Y+12)=-5Y-4(Y-6)
Y+4=-5Y-4Y+24
Y+5Y+4Y=24-4
10Y=20
Y=20/10
Y=2
PROOF
(1/3)(3*2+12)=-5*2-4(2-6)
(1/3)(6+12)=-10-4(-4)
1/3*18=-10+16
6=6
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(4+3X)/5+(7-X)/3=(7/15)
[3(4+3X)+5(7-X)]/15=7/15
(12+9X+35-5X)/15=7/15 MULTIPLYING EACH SIDE BY 15 ELIMINATES THE DENOMINATORS.
9X-5X=7-12-35
4X=7-47
4X=-40 DIVIDE BOTH SIDES BY 4
4X=-40/4
X=-10
PROOF
(4-30)/5+(7+10)/3=7/15
-26/5+17/3=7/15
(3*-26+17*5)/15=7/15
(-78+85)/15=7/15
7/15=7/15