3y-6+y+46=5y+40-3y

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Solution for 3y-6+y+46=5y+40-3y equation: 


Simplifying
3y + -6 + y + 46 = 5y + 40 + -3y

Reorder the terms:
-6 + 46 + 3y + y = 5y + 40 + -3y

Combine like terms: -6 + 46 = 40
40 + 3y + y = 5y + 40 + -3y

Combine like terms: 3y + y = 4y
40 + 4y = 5y + 40 + -3y

Reorder the terms:
40 + 4y = 40 + 5y + -3y

Combine like terms: 5y + -3y = 2y
40 + 4y = 40 + 2y

Add '-40' to each side of the equation.
40 + -40 + 4y = 40 + -40 + 2y

Combine like terms: 40 + -40 = 0
0 + 4y = 40 + -40 + 2y
4y = 40 + -40 + 2y

Combine like terms: 40 + -40 = 0
4y = 0 + 2y
4y = 2y

Solving
4y = 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.
4y + -2y = 2y + -2y

Combine like terms: 4y + -2y = 2y
2y = 2y + -2y

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

Divide each side by '2'.
y = 0

Simplifying
y = 0

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