5y-3+y+33=8y-30-5y

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Solution for 5y-3+y+33=8y-30-5y equation: 


Simplifying
5y + -3 + y + 33 = 8y + -30 + -5y

Reorder the terms:
-3 + 33 + 5y + y = 8y + -30 + -5y

Combine like terms: -3 + 33 = 30
30 + 5y + y = 8y + -30 + -5y

Combine like terms: 5y + y = 6y
30 + 6y = 8y + -30 + -5y

Reorder the terms:
30 + 6y = -30 + 8y + -5y

Combine like terms: 8y + -5y = 3y
30 + 6y = -30 + 3y

Solving
30 + 6y = -30 + 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.
30 + 6y + -3y = -30 + 3y + -3y

Combine like terms: 6y + -3y = 3y
30 + 3y = -30 + 3y + -3y

Combine like terms: 3y + -3y = 0
30 + 3y = -30 + 0
30 + 3y = -30

Add '-30' to each side of the equation.
30 + -30 + 3y = -30 + -30

Combine like terms: 30 + -30 = 0
0 + 3y = -30 + -30
3y = -30 + -30

Combine like terms: -30 + -30 = -60
3y = -60

Divide each side by '3'.
y = -20

Simplifying
y = -20

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