5y-6+y+34=5y+40-3y

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Solution for 5y-6+y+34=5y+40-3y equation: 


Simplifying
5y + -6 + y + 34 = 5y + 40 + -3y

Reorder the terms:
-6 + 34 + 5y + y = 5y + 40 + -3y

Combine like terms: -6 + 34 = 28
28 + 5y + y = 5y + 40 + -3y

Combine like terms: 5y + y = 6y
28 + 6y = 5y + 40 + -3y

Reorder the terms:
28 + 6y = 40 + 5y + -3y

Combine like terms: 5y + -3y = 2y
28 + 6y = 40 + 2y

Solving
28 + 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.
28 + 6y + -2y = 40 + 2y + -2y

Combine like terms: 6y + -2y = 4y
28 + 4y = 40 + 2y + -2y

Combine like terms: 2y + -2y = 0
28 + 4y = 40 + 0
28 + 4y = 40

Add '-28' to each side of the equation.
28 + -28 + 4y = 40 + -28

Combine like terms: 28 + -28 = 0
0 + 4y = 40 + -28
4y = 40 + -28

Combine like terms: 40 + -28 = 12
4y = 12

Divide each side by '4'.
y = 3

Simplifying
y = 3

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