55+4y-22=13y-9-3y

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Solution for 55+4y-22=13y-9-3y equation: 


Simplifying
55 + 4y + -22 = 13y + -9 + -3y

Reorder the terms:
55 + -22 + 4y = 13y + -9 + -3y

Combine like terms: 55 + -22 = 33
33 + 4y = 13y + -9 + -3y

Reorder the terms:
33 + 4y = -9 + 13y + -3y

Combine like terms: 13y + -3y = 10y
33 + 4y = -9 + 10y

Solving
33 + 4y = -9 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
33 + 4y + -10y = -9 + 10y + -10y

Combine like terms: 4y + -10y = -6y
33 + -6y = -9 + 10y + -10y

Combine like terms: 10y + -10y = 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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