3y-5+y+51=7y+50-5y

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Solution for 3y-5+y+51=7y+50-5y equation: 


Simplifying
3y + -5 + y + 51 = 7y + 50 + -5y

Reorder the terms:
-5 + 51 + 3y + y = 7y + 50 + -5y

Combine like terms: -5 + 51 = 46
46 + 3y + y = 7y + 50 + -5y

Combine like terms: 3y + y = 4y
46 + 4y = 7y + 50 + -5y

Reorder the terms:
46 + 4y = 50 + 7y + -5y

Combine like terms: 7y + -5y = 2y
46 + 4y = 50 + 2y

Solving
46 + 4y = 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 + 4y + -2y = 50 + 2y + -2y

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

Combine like terms: 2y + -2y = 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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