5y-5+y+33=8y+40-4y

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Solution for 5y-5+y+33=8y+40-4y equation:


Simplifying
5y + -5 + y + 33 = 8y + 40 + -4y

Reorder the terms:
-5 + 33 + 5y + y = 8y + 40 + -4y

Combine like terms: -5 + 33 = 28
28 + 5y + y = 8y + 40 + -4y

Combine like terms: 5y + y = 6y
28 + 6y = 8y + 40 + -4y

Reorder the terms:
28 + 6y = 40 + 8y + -4y

Combine like terms: 8y + -4y = 4y
28 + 6y = 40 + 4y

Solving
28 + 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.
28 + 6y + -4y = 40 + 4y + -4y

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

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

Add '-28' to each side of the equation.
28 + -28 + 2y = 40 + -28

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

Combine like terms: 40 + -28 = 12
2y = 12

Divide each side by '2'.
y = 6

Simplifying
y = 6

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