12y-5=16y+31

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


Simplifying
12y + -5 = 16y + 31

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

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

Solving
-5 + 12y = 31 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
-5 + 12y + -16y = 31 + 16y + -16y

Combine like terms: 12y + -16y = -4y
-5 + -4y = 31 + 16y + -16y

Combine like terms: 16y + -16y = 0
-5 + -4y = 31 + 0
-5 + -4y = 31

Add '5' to each side of the equation.
-5 + 5 + -4y = 31 + 5

Combine like terms: -5 + 5 = 0
0 + -4y = 31 + 5
-4y = 31 + 5

Combine like terms: 31 + 5 = 36
-4y = 36

Divide each side by '-4'.
y = -9

Simplifying
y = -9

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