4y-2+y+46=7y+50-4y

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Solution for 4y-2+y+46=7y+50-4y equation:


Simplifying
4y + -2 + y + 46 = 7y + 50 + -4y

Reorder the terms:
-2 + 46 + 4y + y = 7y + 50 + -4y

Combine like terms: -2 + 46 = 44
44 + 4y + y = 7y + 50 + -4y

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

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

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

Solving
44 + 5y = 50 + 3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3y' to each side of the equation.
44 + 5y + -3y = 50 + 3y + -3y

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

Combine like terms: 3y + -3y = 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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