4y-4+y+38=8y+40-5y

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Solution for 4y-4+y+38=8y+40-5y equation: 


Simplifying
4y + -4 + y + 38 = 8y + 40 + -5y

Reorder the terms:
-4 + 38 + 4y + y = 8y + 40 + -5y

Combine like terms: -4 + 38 = 34
34 + 4y + y = 8y + 40 + -5y

Combine like terms: 4y + y = 5y
34 + 5y = 8y + 40 + -5y

Reorder the terms:
34 + 5y = 40 + 8y + -5y

Combine like terms: 8y + -5y = 3y
34 + 5y = 40 + 3y

Solving
34 + 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.
34 + 5y + -3y = 40 + 3y + -3y

Combine like terms: 5y + -3y = 2y
34 + 2y = 40 + 3y + -3y

Combine like terms: 3y + -3y = 0
34 + 2y = 40 + 0
34 + 2y = 40

Add '-34' to each side of the equation.
34 + -34 + 2y = 40 + -34

Combine like terms: 34 + -34 = 0
0 + 2y = 40 + -34
2y = 40 + -34

Combine like terms: 40 + -34 = 6
2y = 6

Divide each side by '2'.
y = 3

Simplifying
y = 3

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