4y-6+y+33=7y+30-5y

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Solution for 4y-6+y+33=7y+30-5y equation: 


Simplifying
4y + -6 + y + 33 = 7y + 30 + -5y

Reorder the terms:
-6 + 33 + 4y + y = 7y + 30 + -5y

Combine like terms: -6 + 33 = 27
27 + 4y + y = 7y + 30 + -5y

Combine like terms: 4y + y = 5y
27 + 5y = 7y + 30 + -5y

Reorder the terms:
27 + 5y = 30 + 7y + -5y

Combine like terms: 7y + -5y = 2y
27 + 5y = 30 + 2y

Solving
27 + 5y = 30 + 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.
27 + 5y + -2y = 30 + 2y + -2y

Combine like terms: 5y + -2y = 3y
27 + 3y = 30 + 2y + -2y

Combine like terms: 2y + -2y = 0
27 + 3y = 30 + 0
27 + 3y = 30

Add '-27' to each side of the equation.
27 + -27 + 3y = 30 + -27

Combine like terms: 27 + -27 = 0
0 + 3y = 30 + -27
3y = 30 + -27

Combine like terms: 30 + -27 = 3
3y = 3

Divide each side by '3'.
y = 1

Simplifying
y = 1

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