31+4y-12=13y-9-24

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Solution for 31+4y-12=13y-9-24 equation: 


Simplifying
31 + 4y + -12 = 13y + -9 + -24

Reorder the terms:
31 + -12 + 4y = 13y + -9 + -24

Combine like terms: 31 + -12 = 19
19 + 4y = 13y + -9 + -24

Reorder the terms:
19 + 4y = -9 + -24 + 13y

Combine like terms: -9 + -24 = -33
19 + 4y = -33 + 13y

Solving
19 + 4y = -33 + 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.
19 + 4y + -13y = -33 + 13y + -13y

Combine like terms: 4y + -13y = -9y
19 + -9y = -33 + 13y + -13y

Combine like terms: 13y + -13y = 0
19 + -9y = -33 + 0
19 + -9y = -33

Add '-19' to each side of the equation.
19 + -19 + -9y = -33 + -19

Combine like terms: 19 + -19 = 0
0 + -9y = -33 + -19
-9y = -33 + -19

Combine like terms: -33 + -19 = -52
-9y = -52

Divide each side by '-9'.
y = 5.777777778

Simplifying
y = 5.777777778

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