-3y+2(y+3) = -4+2(y-3)
please describe what you did to get Y in detail.
thank you.
2006-11-05 13:01:16 · 8 answers · asked by *Ashlen* 2 in Science & Mathematics ➔ Mathematics
First, the answer is: Y=16/3, which is 5-1/3 (five and one third).
To get there, you put all the y's on one side of the equation and all the whole numbers on the other side.
First break down the brackets portions:
-3Y+2(Y+3) = -4+2(Y-3) becomes -3Y+2Y+6=-4+2Y-6
Then, move the Y's to the left side and the whole numbers to the right side of the equation. Rememer that when you move an item from one side of the equal sign to the other that you reverse the "sign" of that item. You will get this:
-3Y+2Y-2Y = -6-4-6
This calculates into:
-3Y = -16
Then, change the negative signs on both sides to positives, which gives you:
3Y = 16
Therefore:
Y = 16/3
If you replace each Y in your equation with 16/3, you should get the same amount on both sides of the original equation.
This is how I was taught algebra "many" years ago. Hope they are still teaching it the same way.
2006-11-05 13:32:57 · answer #1 · answered by BC 6 · 0⤊ 0⤋
Simplifying
-3y + (y + 3) = -4 + 2(y + -3)
Reorder the terms:
-3y + (3 + y) = -4 + 2(y + -3)
Remove parenthesis around (3 + y)
-3y + 3 + y = -4 + 2(y + -3)
Reorder the terms:
3 + -3y + y = -4 + 2(y + -3)
Combine like terms: -3y + y = -2y
3 + -2y = -4 + 2(y + -3)
Reorder the terms:
3 + -2y = -4 + 2(-3 + y)
3 + -2y = -4 + (-3 * 2 + y * 2)
3 + -2y = -4 + (-6 + 2y)
Combine like terms: -4 + -6 = -10
3 + -2y = -10 + 2y
Solving
3 + -2y = -10 + 2y
Move all terms containing y to the left, all other terms to the right.
Add '-2y' to each side of the equation.
3 + -2y + -2y = -10 + 2y + -2y
Combine like terms: -2y + -2y = -4y
3 + -4y = -10 + 2y + -2y
Combine like terms: 2y + -2y = 0
3 + -4y = -10 + 0
3 + -4y = -10
Add '-3' to each side of the equation.
3 + -3 + -4y = -10 + -3
Combine like terms: 3 + -3 = 0
0 + -4y = -10 + -3
-4y = -10 + -3
Combine like terms: -10 + -3 = -13
-4y = -13
Divide each side by '-4'.
y = 3.25
Simplifying
y = 3.25
i hope this helps u (^-^)
2006-11-05 21:39:43 · answer #2 · answered by normal_gal 2 · 0⤊ 0⤋
-3y+2(y+3) = -4+2(y-3) multiply through
-3y+2y+6 = -4+6y-6 subtract 6y from both sides
-3y+2y+6-6y = -4-6 subtract 6 from both sides
-3y+2y-6y = -4-6-6 add up the terms
-7y = -16 divide both sides by -7
y = 16/7
Doug
2006-11-05 21:09:14 · answer #3 · answered by doug_donaghue 7 · 0⤊ 0⤋
-3y + 2y+6= -4+ 2y- 6
-y+6= -8+ 2y
-y-2y= -8-6
-3y= -14
y= -14/-3
y= 4.6
hope it helps
put me as best answer plzz
2006-11-05 21:05:47 · answer #4 · answered by jrishmawi2 2 · 0⤊ 1⤋
-3y+2(y+3)=-4+2(y-3)
-3y+2y+6=-4+2y-6
-y+6=-10+2y
+y +y
_______________
6=-10+3y
+10 +10
_______________
16=3y
/3 /3
5.33333=y
2006-11-05 21:10:15 · answer #5 · answered by ... 6 · 0⤊ 0⤋
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2006-11-05 21:04:43 · answer #6 · answered by Baby D 2 · 0⤊ 0⤋
Do not mean to ridicule your question, but PLEASE do not ask, I'm only 9 credits of graduating from college and they are all math.
2006-11-05 21:09:08 · answer #7 · answered by ? 5 · 0⤊ 0⤋
yeah dont get that im only in 7th
2006-11-05 21:02:50 · answer #8 · answered by miss.hollywood 1 · 0⤊ 0⤋