57+3y-24=14y-9-5y

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Solution for 57+3y-24=14y-9-5y equation: 


Simplifying
57 + 3y + -24 = 14y + -9 + -5y

Reorder the terms:
57 + -24 + 3y = 14y + -9 + -5y

Combine like terms: 57 + -24 = 33
33 + 3y = 14y + -9 + -5y

Reorder the terms:
33 + 3y = -9 + 14y + -5y

Combine like terms: 14y + -5y = 9y
33 + 3y = -9 + 9y

Solving
33 + 3y = -9 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
33 + 3y + -9y = -9 + 9y + -9y

Combine like terms: 3y + -9y = -6y
33 + -6y = -9 + 9y + -9y

Combine like terms: 9y + -9y = 0
33 + -6y = -9 + 0
33 + -6y = -9

Add '-33' to each side of the equation.
33 + -33 + -6y = -9 + -33

Combine like terms: 33 + -33 = 0
0 + -6y = -9 + -33
-6y = -9 + -33

Combine like terms: -9 + -33 = -42
-6y = -42

Divide each side by '-6'.
y = 7

Simplifying
y = 7

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