SOLUTION: Hello, I am trying to solve this equation for my son who is in high school. He is having a difficult time with algebra and it's been a while since I've touched on this subject.I wo

Algebra ->  Equations -> SOLUTION: Hello, I am trying to solve this equation for my son who is in high school. He is having a difficult time with algebra and it's been a while since I've touched on this subject.I wo      Log On


   

Question 596031: Hello, I am trying to solve this equation for my son who is in high school. He is having a difficult time with algebra and it's been a while since I've touched on this subject.I would greatly appreciated if someone could help us both out. The equation is 2y - 3(2 - y) = 5 + y . Thank you, and if you can show the steps on how this is done instead of just the answer would also be great so that I may in the future be of some help and can learn myself as well.
Found 2 solutions by jim_thompson5910, math-vortex:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2y-3%282-y%29=5%2By Start with the given equation.


2y-6%2B3y=5%2By Distribute.


5y-6=5%2By Combine like terms on the left side.


5y=5%2By%2B6 Add 6 to both sides.


5y-y=5%2B6 Subtract y from both sides.


4y=5%2B6 Combine like terms on the left side.


4y=11 Combine like terms on the right side.


y=%2811%29%2F%284%29 Divide both sides by 4 to isolate y.


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Answer:

So the solution is y=11%2F4

Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there---
2y-3(2-y)=5+y
.
Multiply 3 times each term inside the parentheses.
2y-6+3y=5+y
.
Now we want to combine like terms, 2y+3y is 5y.
5y-6=5+y
.
Our goal is to isolate y on one side of the equation. Subract y from both sides.
5y-6-y=5+y-y
.
Simplify. y-y is 0.
4y-6=5
.
Add 6 to both sides of the equation.
4y-6+6=5+6
.
Simplify. -6+6 is 0.
4y=11
.
Divide both sides of the equation by 4. 4y divided by 4 is 1y or just y.
y=11/4
.
.
It's always a good idea to check your answer by substituting it into the original equation.
.
2y-3%282-y%29=5%2By
2%2811%2F4%29-3%282-%2811%2F4%29%29=5%2B%2811%2F4%29
22%2F4-6%2B33%2F4=5%2B11%2F4
22%2F4-24%2F4%2B33%2F4=20%2F4%2B11%2F4
31%2F4=31%2F4
Bingo!
.
Feel free to email me if any part doesn't make sense.
.
Ms.Figgy
math.in.the.vortex@gmail.com