5y-5+y+42=6y+40-3y

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Solution for 5y-5+y+42=6y+40-3y equation: 


Simplifying
5y + -5 + y + 42 = 6y + 40 + -3y

Reorder the terms:
-5 + 42 + 5y + y = 6y + 40 + -3y

Combine like terms: -5 + 42 = 37
37 + 5y + y = 6y + 40 + -3y

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

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

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

Solving
37 + 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.
37 + 6y + -3y = 40 + 3y + -3y

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

Combine like terms: 3y + -3y = 0
37 + 3y = 40 + 0
37 + 3y = 40

Add '-37' to each side of the equation.
37 + -37 + 3y = 40 + -37

Combine like terms: 37 + -37 = 0
0 + 3y = 40 + -37
3y = 40 + -37

Combine like terms: 40 + -37 = 3
3y = 3

Divide each side by '3'.
y = 1

Simplifying
y = 1

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