31+3y-12=16y-13-5y

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Solution for 31+3y-12=16y-13-5y equation:


Simplifying
31 + 3y + -12 = 16y + -13 + -5y

Reorder the terms:
31 + -12 + 3y = 16y + -13 + -5y

Combine like terms: 31 + -12 = 19
19 + 3y = 16y + -13 + -5y

Reorder the terms:
19 + 3y = -13 + 16y + -5y

Combine like terms: 16y + -5y = 11y
19 + 3y = -13 + 11y

Solving
19 + 3y = -13 + 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.
19 + 3y + -11y = -13 + 11y + -11y

Combine like terms: 3y + -11y = -8y
19 + -8y = -13 + 11y + -11y

Combine like terms: 11y + -11y = 0
19 + -8y = -13 + 0
19 + -8y = -13

Add '-19' to each side of the equation.
19 + -19 + -8y = -13 + -19

Combine like terms: 19 + -19 = 0
0 + -8y = -13 + -19
-8y = -13 + -19

Combine like terms: -13 + -19 = -32
-8y = -32

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

Simplifying
y = 4

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