4y-6+y+44=5y+40-2y

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Solution for 4y-6+y+44=5y+40-2y equation: 


Simplifying
4y + -6 + y + 44 = 5y + 40 + -2y

Reorder the terms:
-6 + 44 + 4y + y = 5y + 40 + -2y

Combine like terms: -6 + 44 = 38
38 + 4y + y = 5y + 40 + -2y

Combine like terms: 4y + y = 5y
38 + 5y = 5y + 40 + -2y

Reorder the terms:
38 + 5y = 40 + 5y + -2y

Combine like terms: 5y + -2y = 3y
38 + 5y = 40 + 3y

Solving
38 + 5y = 40 + 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 + 5y + -3y = 40 + 3y + -3y

Combine like terms: 5y + -3y = 2y
38 + 2y = 40 + 3y + -3y

Combine like terms: 3y + -3y = 0
38 + 2y = 40 + 0
38 + 2y = 40

Add '-38' to each side of the equation.
38 + -38 + 2y = 40 + -38

Combine like terms: 38 + -38 = 0
0 + 2y = 40 + -38
2y = 40 + -38

Combine like terms: 40 + -38 = 2
2y = 2

Divide each side by '2'.
y = 1

Simplifying
y = 1

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