3y-2+y+46=7y+50-5y

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Solution for 3y-2+y+46=7y+50-5y equation: 


Simplifying
3y + -2 + y + 46 = 7y + 50 + -5y

Reorder the terms:
-2 + 46 + 3y + y = 7y + 50 + -5y

Combine like terms: -2 + 46 = 44
44 + 3y + y = 7y + 50 + -5y

Combine like terms: 3y + y = 4y
44 + 4y = 7y + 50 + -5y

Reorder the terms:
44 + 4y = 50 + 7y + -5y

Combine like terms: 7y + -5y = 2y
44 + 4y = 50 + 2y

Solving
44 + 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.
44 + 4y + -2y = 50 + 2y + -2y

Combine like terms: 4y + -2y = 2y
44 + 2y = 50 + 2y + -2y

Combine like terms: 2y + -2y = 0
44 + 2y = 50 + 0
44 + 2y = 50

Add '-44' to each side of the equation.
44 + -44 + 2y = 50 + -44

Combine like terms: 44 + -44 = 0
0 + 2y = 50 + -44
2y = 50 + -44

Combine like terms: 50 + -44 = 6
2y = 6

Divide each side by '2'.
y = 3

Simplifying
y = 3

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