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Question 59014: -4y - (5y +6) = -7y + 3 i need a step by step on how to solve
-4y (-5y +6) = -7y + 3
20y + 6 = -7y + 3
i got stuck here
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! -4y - (5y +6) = -7y + 3 i need a step by step on how to solve
:
When you remove the bracket that has a negative before it, you must change all
the signs inside the brackets:
:
-4y - 5y - 6 = -7y + 3
:
Add 7y to both sides:
+7y - 4y - 5y - 6 = +7y - 7y + 3
:
Add/subtract like terms and you have;
-2y - 6 = 3
:
Add 6 to both sides:
-2y - 6 + 6 = 3 + 6
Resulting in:
-2y = 9
We always want the unknown to be positive, mult equation by -1,we have:
+2y = -9
:
Divide both sides by 2
1y = -9/2
y = -4.5
:
:
Substitute -4.5 for y in the original equation to check our solution
-4y - (5y +6) = -7y + 3
-4(-4.5) - [5(-4.5) + 6] = -7(-4.5) + 3
:
Remember a minus a minus equals a plus, so be have:
+18 - (-22.5 + 6) = + 31.5 + 3
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do the math in the brackets:
+18 - (-16.5) = 34.5
+18 + 16.5 = 34.5 equality here proves our solution
:
Did this make sense to you now?
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