3y-10+y+46=7y+40-5y

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Solution for 3y-10+y+46=7y+40-5y equation: 


Simplifying
3y + -10 + y + 46 = 7y + 40 + -5y

Reorder the terms:
-10 + 46 + 3y + y = 7y + 40 + -5y

Combine like terms: -10 + 46 = 36
36 + 3y + y = 7y + 40 + -5y

Combine like terms: 3y + y = 4y
36 + 4y = 7y + 40 + -5y

Reorder the terms:
36 + 4y = 40 + 7y + -5y

Combine like terms: 7y + -5y = 2y
36 + 4y = 40 + 2y

Solving
36 + 4y = 40 + 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.
36 + 4y + -2y = 40 + 2y + -2y

Combine like terms: 4y + -2y = 2y
36 + 2y = 40 + 2y + -2y

Combine like terms: 2y + -2y = 0
36 + 2y = 40 + 0
36 + 2y = 40

Add '-36' to each side of the equation.
36 + -36 + 2y = 40 + -36

Combine like terms: 36 + -36 = 0
0 + 2y = 40 + -36
2y = 40 + -36

Combine like terms: 40 + -36 = 4
2y = 4

Divide each side by '2'.
y = 2

Simplifying
y = 2

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