*Combine "like" terms - combine terms (with the same letter) on the left side.
First: add 6y to both sides - when you move a term to the opposite side, always use the opposite sign.
-2y+11+6y = -6y+6y+35
-2y+11+6y = 35
4y +11 = 35
SEc: subtract 11 from both sides.
4y +11 -11 = 35-11
4y = 35-11
4y = 24
Third: solve for "y" - divide both sides by 4.
4y/4 = 24/4
y = 24/4
y = 6
2007-11-24 13:40:31
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answer #1
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answered by ♪♥Annie♥♪ 6
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The goal is to rearrange the equation so the unknown y is all by itself on one side of the equals sign.
Add 6y to both sides of the eq:
6y-2y+11= 35
4y + 11 = 35
Subtract 11 from both sides:
4y = 35 - 11
4y = 24
Divide both sides by 4:
y = 6
2007-11-24 19:00:47
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answer #2
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answered by DWRead 7
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-2Y + 11 = -6Y + 35
11 = -4Y + 35
-24 = -4Y
Y = 6
The trick to solving for variables is do the opposite to what has been done to the variable. First, let's get the variable in one term by adding 2Y to both sides. 35 has been added to -4Y. The opposite of adding 35 would be subtracting 35. Remember, do onto one side as you do onto the other. Now, you it is obvious that Y was multiplied by -4. To "cancel out" multiplication, you need to divide. Divide both sides by -4. This will give you what Y is equal to.
(I'm not trying to be arrogant, but so far, I'm the only answerer to explain WHY you do what you do. Explaining WHY you do things in Mathematics is the key to understanding this subject better.)
I hope my explanation was helpful to you.
2007-11-24 19:00:31
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answer #3
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answered by math geek 3
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add -6y to both sides
-2y + 6y +11 = -6y +6y + 35 <-------- -6y + 6y = 0. -2y + 6y = 4y
so, we get:
4y +11 = 35
subtract 11 from both sides:
4y +11 - 11 = 35 - 11
4y =24
divide both sides by 4
4y/4=24/4
y = 6
2007-11-24 18:58:08
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answer #4
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answered by Mohsin 3
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2y+11=-6y+35
4y+11=35
4y+11-11=35-11
4y=24
y=6
2007-11-24 19:04:48
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answer #5
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answered by Dave aka Spider Monkey 7
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instead of doing the work for you
here is the hint
get all the numbers on one side
the another side the y variable
2007-11-24 18:58:52
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answer #6
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answered by Clueless 5
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If the equation is correct, the two equations are the same.
Because if y equaled any number then the other side would also equal that number as well, meaning that...
Both equations are the same
2007-11-24 19:02:27
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answer #7
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answered by mechmast 1
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