31+3y-13=13y-14-2y

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Solution for 31+3y-13=13y-14-2y equation: 


Simplifying
31 + 3y + -13 = 13y + -14 + -2y

Reorder the terms:
31 + -13 + 3y = 13y + -14 + -2y

Combine like terms: 31 + -13 = 18
18 + 3y = 13y + -14 + -2y

Reorder the terms:
18 + 3y = -14 + 13y + -2y

Combine like terms: 13y + -2y = 11y
18 + 3y = -14 + 11y

Solving
18 + 3y = -14 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
18 + 3y + -11y = -14 + 11y + -11y

Combine like terms: 3y + -11y = -8y
18 + -8y = -14 + 11y + -11y

Combine like terms: 11y + -11y = 0
18 + -8y = -14 + 0
18 + -8y = -14

Add '-18' to each side of the equation.
18 + -18 + -8y = -14 + -18

Combine like terms: 18 + -18 = 0
0 + -8y = -14 + -18
-8y = -14 + -18

Combine like terms: -14 + -18 = -32
-8y = -32

Divide each side by '-8'.
y = 4

Simplifying
y = 4

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