31+4y-9=15y-13-4y

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Solution for 31+4y-9=15y-13-4y equation: 


Simplifying
31 + 4y + -9 = 15y + -13 + -4y

Reorder the terms:
31 + -9 + 4y = 15y + -13 + -4y

Combine like terms: 31 + -9 = 22
22 + 4y = 15y + -13 + -4y

Reorder the terms:
22 + 4y = -13 + 15y + -4y

Combine like terms: 15y + -4y = 11y
22 + 4y = -13 + 11y

Solving
22 + 4y = -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.
22 + 4y + -11y = -13 + 11y + -11y

Combine like terms: 4y + -11y = -7y
22 + -7y = -13 + 11y + -11y

Combine like terms: 11y + -11y = 0
22 + -7y = -13 + 0
22 + -7y = -13

Add '-22' to each side of the equation.
22 + -22 + -7y = -13 + -22

Combine like terms: 22 + -22 = 0
0 + -7y = -13 + -22
-7y = -13 + -22

Combine like terms: -13 + -22 = -35
-7y = -35

Divide each side by '-7'.
y = 5

Simplifying
y = 5

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