3y-8+y+54=6y+50-4y

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Solution for 3y-8+y+54=6y+50-4y equation:


Simplifying
3y + -8 + y + 54 = 6y + 50 + -4y

Reorder the terms:
-8 + 54 + 3y + y = 6y + 50 + -4y

Combine like terms: -8 + 54 = 46
46 + 3y + y = 6y + 50 + -4y

Combine like terms: 3y + y = 4y
46 + 4y = 6y + 50 + -4y

Reorder the terms:
46 + 4y = 50 + 6y + -4y

Combine like terms: 6y + -4y = 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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