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steps on how to do this: -4y-10=5y+44

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2 Answers

Steps on how to do this: -4y-10=5y+44
 
To solve this equation, we want to isolate the variable y on one side the equation and put everything else on the other side.  We do this by adding, subtracting, multiplying, and dividing as necessary.  We have to do the exact same thing on each side the equation (=sign) to keep it equal.
 
Here's how to do it:
 
Add +4y to both sides of the equation:
 
-4y - 10 + 4y = 5y + 44 + 4y
 
Combine like terms:
 
(-4y + 4y) - 10 = (5y + 4y) + 44               [-4y + 4y = 0]
-10 = 9y + 44
 
OK. We've gotten the y's on one side, now we get rid of the 44 by subtracting 44 from both sides:
 
-10 - 44 = 9y + 44 - 44                             [+44 - 44 = 0]
 
-54 = 9y
 
Almost there. Now divide both sides by 9:
 
-54/9 = 9y/9
 
-6 = y
 
and we're done!
-4y-10=5y+44
solving steps:
try to bring variables in left hand side and constants in the right side
or, -4y-5y=44+10
or, -9y=54
divide both side with the coefficient of variable(y) 
or, y=-54/9
or, y=-6