4y-6+y+37=5y+40-3y

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Solution for 4y-6+y+37=5y+40-3y equation: 


Simplifying
4y + -6 + y + 37 = 5y + 40 + -3y

Reorder the terms:
-6 + 37 + 4y + y = 5y + 40 + -3y

Combine like terms: -6 + 37 = 31
31 + 4y + y = 5y + 40 + -3y

Combine like terms: 4y + y = 5y
31 + 5y = 5y + 40 + -3y

Reorder the terms:
31 + 5y = 40 + 5y + -3y

Combine like terms: 5y + -3y = 2y
31 + 5y = 40 + 2y

Solving
31 + 5y = 40 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
31 + 5y + -2y = 40 + 2y + -2y

Combine like terms: 5y + -2y = 3y
31 + 3y = 40 + 2y + -2y

Combine like terms: 2y + -2y = 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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