5y-2+y+38=7y+40-5y

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Solution for 5y-2+y+38=7y+40-5y equation: 


Simplifying
5y + -2 + y + 38 = 7y + 40 + -5y

Reorder the terms:
-2 + 38 + 5y + y = 7y + 40 + -5y

Combine like terms: -2 + 38 = 36
36 + 5y + y = 7y + 40 + -5y

Combine like terms: 5y + y = 6y
36 + 6y = 7y + 40 + -5y

Reorder the terms:
36 + 6y = 40 + 7y + -5y

Combine like terms: 7y + -5y = 2y
36 + 6y = 40 + 2y

Solving
36 + 6y = 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.
36 + 6y + -2y = 40 + 2y + -2y

Combine like terms: 6y + -2y = 4y
36 + 4y = 40 + 2y + -2y

Combine like terms: 2y + -2y = 0
36 + 4y = 40 + 0
36 + 4y = 40

Add '-36' to each side of the equation.
36 + -36 + 4y = 40 + -36

Combine like terms: 36 + -36 = 0
0 + 4y = 40 + -36
4y = 40 + -36

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

Divide each side by '4'.
y = 1

Simplifying
y = 1

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