4y-6+y+47=5y+50-3y

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Solution for 4y-6+y+47=5y+50-3y equation:


Simplifying
4y + -6 + y + 47 = 5y + 50 + -3y

Reorder the terms:
-6 + 47 + 4y + y = 5y + 50 + -3y

Combine like terms: -6 + 47 = 41
41 + 4y + y = 5y + 50 + -3y

Combine like terms: 4y + y = 5y
41 + 5y = 5y + 50 + -3y

Reorder the terms:
41 + 5y = 50 + 5y + -3y

Combine like terms: 5y + -3y = 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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