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i need quick help with this math equasion

analize me this math equazion 

what is y-1-2y=y+1-3y

 Jun 7, 2017
 #1
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In this equation, your eventual goal is to isolate y. Let's see how to do this:
 

\(y-1-2y=y+1-3y\) Simplify both sides of the equation by combining like terms. In this case, the linear terms can be combined to simplify things
\(-y-1=-2y+1\) Add to both sides of the equation. Doing this will have a that will cancel on the left hand side. 
\(-1=-y+1\) Subtract 1 from both sides
\(-2=-y\) Divide by -1 to get rid of the negative sign on the y.
\(2=y\)  
   

 

If you are ever pondering about whether or not this answer is correct, plug the answer you got into your equation and see if the statement is true. :

 

\(y-1-2y=y+1-3y\) Replace all instances of a with a 2
\(2-1-2*2=2+1-3*2\) Simplify and see if the statement is true
\(2-1-4=2+1-6\)  
\(1-4=3-6\)  
\(-3=-3\) Indeed, this is a true statement. 
   

 

Therefore, \(y=2\) is the correct and only correct solution for the given equation

 Jun 7, 2017
edited by TheXSquaredFactor  Jun 7, 2017

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