5y-10+y+51=8y+50-5y

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Solution for 5y-10+y+51=8y+50-5y equation: 


Simplifying
5y + -10 + y + 51 = 8y + 50 + -5y

Reorder the terms:
-10 + 51 + 5y + y = 8y + 50 + -5y

Combine like terms: -10 + 51 = 41
41 + 5y + y = 8y + 50 + -5y

Combine like terms: 5y + y = 6y
41 + 6y = 8y + 50 + -5y

Reorder the terms:
41 + 6y = 50 + 8y + -5y

Combine like terms: 8y + -5y = 3y
41 + 6y = 50 + 3y

Solving
41 + 6y = 50 + 3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3y' to each side of the equation.
41 + 6y + -3y = 50 + 3y + -3y

Combine like terms: 6y + -3y = 3y
41 + 3y = 50 + 3y + -3y

Combine like terms: 3y + -3y = 0
41 + 3y = 50 + 0
41 + 3y = 50

Add '-41' to each side of the equation.
41 + -41 + 3y = 50 + -41

Combine like terms: 41 + -41 = 0
0 + 3y = 50 + -41
3y = 50 + -41

Combine like terms: 50 + -41 = 9
3y = 9

Divide each side by '3'.
y = 3

Simplifying
y = 3

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