5y-4+y+38=7y+40-4y

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Solution for 5y-4+y+38=7y+40-4y equation: 


Simplifying
5y + -4 + y + 38 = 7y + 40 + -4y

Reorder the terms:
-4 + 38 + 5y + y = 7y + 40 + -4y

Combine like terms: -4 + 38 = 34
34 + 5y + y = 7y + 40 + -4y

Combine like terms: 5y + y = 6y
34 + 6y = 7y + 40 + -4y

Reorder the terms:
34 + 6y = 40 + 7y + -4y

Combine like terms: 7y + -4y = 3y
34 + 6y = 40 + 3y

Solving
34 + 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.
34 + 6y + -3y = 40 + 3y + -3y

Combine like terms: 6y + -3y = 3y
34 + 3y = 40 + 3y + -3y

Combine like terms: 3y + -3y = 0
34 + 3y = 40 + 0
34 + 3y = 40

Add '-34' to each side of the equation.
34 + -34 + 3y = 40 + -34

Combine like terms: 34 + -34 = 0
0 + 3y = 40 + -34
3y = 40 + -34

Combine like terms: 40 + -34 = 6
3y = 6

Divide each side by '3'.
y = 2

Simplifying
y = 2

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