5y-6+y+52=5y+50-3y

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Solution for 5y-6+y+52=5y+50-3y equation: 


Simplifying
5y + -6 + y + 52 = 5y + 50 + -3y

Reorder the terms:
-6 + 52 + 5y + y = 5y + 50 + -3y

Combine like terms: -6 + 52 = 46
46 + 5y + y = 5y + 50 + -3y

Combine like terms: 5y + y = 6y
46 + 6y = 5y + 50 + -3y

Reorder the terms:
46 + 6y = 50 + 5y + -3y

Combine like terms: 5y + -3y = 2y
46 + 6y = 50 + 2y

Solving
46 + 6y = 50 + 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.
46 + 6y + -2y = 50 + 2y + -2y

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

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

Add '-46' to each side of the equation.
46 + -46 + 4y = 50 + -46

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

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

Divide each side by '4'.
y = 1

Simplifying
y = 1

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