4y-2+y+38=5y+40-2y

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Solution for 4y-2+y+38=5y+40-2y equation: 


Simplifying
4y + -2 + y + 38 = 5y + 40 + -2y

Reorder the terms:
-2 + 38 + 4y + y = 5y + 40 + -2y

Combine like terms: -2 + 38 = 36
36 + 4y + y = 5y + 40 + -2y

Combine like terms: 4y + y = 5y
36 + 5y = 5y + 40 + -2y

Reorder the terms:
36 + 5y = 40 + 5y + -2y

Combine like terms: 5y + -2y = 3y
36 + 5y = 40 + 3y

Solving
36 + 5y = 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.
36 + 5y + -3y = 40 + 3y + -3y

Combine like terms: 5y + -3y = 2y
36 + 2y = 40 + 3y + -3y

Combine like terms: 3y + -3y = 0
36 + 2y = 40 + 0
36 + 2y = 40

Add '-36' to each side of the equation.
36 + -36 + 2y = 40 + -36

Combine like terms: 36 + -36 = 0
0 + 2y = 40 + -36
2y = 40 + -36

Combine like terms: 40 + -36 = 4
2y = 4

Divide each side by '2'.
y = 2

Simplifying
y = 2

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