31+3y-3=13y-14-4y

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Solution for 31+3y-3=13y-14-4y equation:


Simplifying
31 + 3y + -3 = 13y + -14 + -4y

Reorder the terms:
31 + -3 + 3y = 13y + -14 + -4y

Combine like terms: 31 + -3 = 28
28 + 3y = 13y + -14 + -4y

Reorder the terms:
28 + 3y = -14 + 13y + -4y

Combine like terms: 13y + -4y = 9y
28 + 3y = -14 + 9y

Solving
28 + 3y = -14 + 9y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-9y' to each side of the equation.
28 + 3y + -9y = -14 + 9y + -9y

Combine like terms: 3y + -9y = -6y
28 + -6y = -14 + 9y + -9y

Combine like terms: 9y + -9y = 0
28 + -6y = -14 + 0
28 + -6y = -14

Add '-28' to each side of the equation.
28 + -28 + -6y = -14 + -28

Combine like terms: 28 + -28 = 0
0 + -6y = -14 + -28
-6y = -14 + -28

Combine like terms: -14 + -28 = -42
-6y = -42

Divide each side by '-6'.
y = 7

Simplifying
y = 7

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