4y-4+y+45=8+6y+42-4y

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Solution for 4y-4+y+45=8+6y+42-4y equation:


Simplifying
4y + -4 + y + 45 = 8 + 6y + 42 + -4y

Reorder the terms:
-4 + 45 + 4y + y = 8 + 6y + 42 + -4y

Combine like terms: -4 + 45 = 41
41 + 4y + y = 8 + 6y + 42 + -4y

Combine like terms: 4y + y = 5y
41 + 5y = 8 + 6y + 42 + -4y

Reorder the terms:
41 + 5y = 8 + 42 + 6y + -4y

Combine like terms: 8 + 42 = 50
41 + 5y = 50 + 6y + -4y

Combine like terms: 6y + -4y = 2y
41 + 5y = 50 + 2y

Solving
41 + 5y = 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.
41 + 5y + -2y = 50 + 2y + -2y

Combine like terms: 5y + -2y = 3y
41 + 3y = 50 + 2y + -2y

Combine like terms: 2y + -2y = 0
41 + 3y = 50 + 0
41 + 3y = 50

Add '-41' to each side of the equation.
41 + -41 + 3y = 50 + -41

Combine like terms: 41 + -41 = 0
0 + 3y = 50 + -41
3y = 50 + -41

Combine like terms: 50 + -41 = 9
3y = 9

Divide each side by '3'.
y = 3

Simplifying
y = 3

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