31+4y-9=16y-14-3y

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Solution for 31+4y-9=16y-14-3y equation:


Simplifying
31 + 4y + -9 = 16y + -14 + -3y

Reorder the terms:
31 + -9 + 4y = 16y + -14 + -3y

Combine like terms: 31 + -9 = 22
22 + 4y = 16y + -14 + -3y

Reorder the terms:
22 + 4y = -14 + 16y + -3y

Combine like terms: 16y + -3y = 13y
22 + 4y = -14 + 13y

Solving
22 + 4y = -14 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
22 + 4y + -13y = -14 + 13y + -13y

Combine like terms: 4y + -13y = -9y
22 + -9y = -14 + 13y + -13y

Combine like terms: 13y + -13y = 0
22 + -9y = -14 + 0
22 + -9y = -14

Add '-22' to each side of the equation.
22 + -22 + -9y = -14 + -22

Combine like terms: 22 + -22 = 0
0 + -9y = -14 + -22
-9y = -14 + -22

Combine like terms: -14 + -22 = -36
-9y = -36

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

Simplifying
y = 4

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