5y-6+y+42=7y+40-3y

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Solution for 5y-6+y+42=7y+40-3y equation: 


Simplifying
5y + -6 + y + 42 = 7y + 40 + -3y

Reorder the terms:
-6 + 42 + 5y + y = 7y + 40 + -3y

Combine like terms: -6 + 42 = 36
36 + 5y + y = 7y + 40 + -3y

Combine like terms: 5y + y = 6y
36 + 6y = 7y + 40 + -3y

Reorder the terms:
36 + 6y = 40 + 7y + -3y

Combine like terms: 7y + -3y = 4y
36 + 6y = 40 + 4y

Solving
36 + 6y = 40 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
36 + 6y + -4y = 40 + 4y + -4y

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

Combine like terms: 4y + -4y = 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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