SOLUTION: Hi, I'm trying to solve the equation below with distributive properties and a fraction 1/6 (y+42)-15=-3 Can you help? Thank you

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: Hi, I'm trying to solve the equation below with distributive properties and a fraction 1/6 (y+42)-15=-3 Can you help? Thank you      Log On


   

Question 390456: Hi, I'm trying to solve the equation below with distributive properties and a fraction
1/6 (y+42)-15=-3
Can you help?
Thank you
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1/6 (y+42)-15=-3
----
(1/6)y + (1/6)42 = 12
---
(1/6)y + 7 = 12
---
(1/6)y = 5
----
y = 30
=======
Cheers,
Stan H.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F6%29+%28y%2B42%29-15=-3+ Start with the given equation.


%281%2F6%29y%2B%281%2F6%2942-15=-3+ Distribute


%281%2F6%29y%2B7-15=-3+ Multiply


6%28%281%2Fcross%286%29%29y%2B7-15%29=6%28-3%29 Multiply both sides by the LCD 6 to clear any fractions.


y%2B42-90=-18 Distribute and multiply.


y-48=-18 Combine like terms on the left side.


y=-18%2B48 Add 48 to both sides.


y=30 Combine like terms on the right side.


----------------------------------------------------------------------

Answer:

So the solution is y=30


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim