5y-3+y+41=6+5y+44-2y

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Solution for 5y-3+y+41=6+5y+44-2y equation: 


Simplifying
5y + -3 + y + 41 = 6 + 5y + 44 + -2y

Reorder the terms:
-3 + 41 + 5y + y = 6 + 5y + 44 + -2y

Combine like terms: -3 + 41 = 38
38 + 5y + y = 6 + 5y + 44 + -2y

Combine like terms: 5y + y = 6y
38 + 6y = 6 + 5y + 44 + -2y

Reorder the terms:
38 + 6y = 6 + 44 + 5y + -2y

Combine like terms: 6 + 44 = 50
38 + 6y = 50 + 5y + -2y

Combine like terms: 5y + -2y = 3y
38 + 6y = 50 + 3y

Solving
38 + 6y = 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.
38 + 6y + -3y = 50 + 3y + -3y

Combine like terms: 6y + -3y = 3y
38 + 3y = 50 + 3y + -3y

Combine like terms: 3y + -3y = 0
38 + 3y = 50 + 0
38 + 3y = 50

Add '-38' to each side of the equation.
38 + -38 + 3y = 50 + -38

Combine like terms: 38 + -38 = 0
0 + 3y = 50 + -38
3y = 50 + -38

Combine like terms: 50 + -38 = 12
3y = 12

Divide each side by '3'.
y = 4

Simplifying
y = 4

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