4y-10+y+31=5y+30-3y

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Solution for 4y-10+y+31=5y+30-3y equation: 


Simplifying
4y + -10 + y + 31 = 5y + 30 + -3y

Reorder the terms:
-10 + 31 + 4y + y = 5y + 30 + -3y

Combine like terms: -10 + 31 = 21
21 + 4y + y = 5y + 30 + -3y

Combine like terms: 4y + y = 5y
21 + 5y = 5y + 30 + -3y

Reorder the terms:
21 + 5y = 30 + 5y + -3y

Combine like terms: 5y + -3y = 2y
21 + 5y = 30 + 2y

Solving
21 + 5y = 30 + 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.
21 + 5y + -2y = 30 + 2y + -2y

Combine like terms: 5y + -2y = 3y
21 + 3y = 30 + 2y + -2y

Combine like terms: 2y + -2y = 0
21 + 3y = 30 + 0
21 + 3y = 30

Add '-21' to each side of the equation.
21 + -21 + 3y = 30 + -21

Combine like terms: 21 + -21 = 0
0 + 3y = 30 + -21
3y = 30 + -21

Combine like terms: 30 + -21 = 9
3y = 9

Divide each side by '3'.
y = 3

Simplifying
y = 3

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