5y-2+y+33=8y+40-5y

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Solution for 5y-2+y+33=8y+40-5y equation: 


Simplifying
5y + -2 + y + 33 = 8y + 40 + -5y

Reorder the terms:
-2 + 33 + 5y + y = 8y + 40 + -5y

Combine like terms: -2 + 33 = 31
31 + 5y + y = 8y + 40 + -5y

Combine like terms: 5y + y = 6y
31 + 6y = 8y + 40 + -5y

Reorder the terms:
31 + 6y = 40 + 8y + -5y

Combine like terms: 8y + -5y = 3y
31 + 6y = 40 + 3y

Solving
31 + 6y = 40 + 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.
31 + 6y + -3y = 40 + 3y + -3y

Combine like terms: 6y + -3y = 3y
31 + 3y = 40 + 3y + -3y

Combine like terms: 3y + -3y = 0
31 + 3y = 40 + 0
31 + 3y = 40

Add '-31' to each side of the equation.
31 + -31 + 3y = 40 + -31

Combine like terms: 31 + -31 = 0
0 + 3y = 40 + -31
3y = 40 + -31

Combine like terms: 40 + -31 = 9
3y = 9

Divide each side by '3'.
y = 3

Simplifying
y = 3

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