5y-6+y+52=6y+50-2y

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Solution for 5y-6+y+52=6y+50-2y equation: 


Simplifying
5y + -6 + y + 52 = 6y + 50 + -2y

Reorder the terms:
-6 + 52 + 5y + y = 6y + 50 + -2y

Combine like terms: -6 + 52 = 46
46 + 5y + y = 6y + 50 + -2y

Combine like terms: 5y + y = 6y
46 + 6y = 6y + 50 + -2y

Reorder the terms:
46 + 6y = 50 + 6y + -2y

Combine like terms: 6y + -2y = 4y
46 + 6y = 50 + 4y

Solving
46 + 6y = 50 + 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.
46 + 6y + -4y = 50 + 4y + -4y

Combine like terms: 6y + -4y = 2y
46 + 2y = 50 + 4y + -4y

Combine like terms: 4y + -4y = 0
46 + 2y = 50 + 0
46 + 2y = 50

Add '-46' to each side of the equation.
46 + -46 + 2y = 50 + -46

Combine like terms: 46 + -46 = 0
0 + 2y = 50 + -46
2y = 50 + -46

Combine like terms: 50 + -46 = 4
2y = 4

Divide each side by '2'.
y = 2

Simplifying
y = 2

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