52+3y-22=13y-12-4y

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Solution for 52+3y-22=13y-12-4y equation: 


Simplifying
52 + 3y + -22 = 13y + -12 + -4y

Reorder the terms:
52 + -22 + 3y = 13y + -12 + -4y

Combine like terms: 52 + -22 = 30
30 + 3y = 13y + -12 + -4y

Reorder the terms:
30 + 3y = -12 + 13y + -4y

Combine like terms: 13y + -4y = 9y
30 + 3y = -12 + 9y

Solving
30 + 3y = -12 + 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.
30 + 3y + -9y = -12 + 9y + -9y

Combine like terms: 3y + -9y = -6y
30 + -6y = -12 + 9y + -9y

Combine like terms: 9y + -9y = 0
30 + -6y = -12 + 0
30 + -6y = -12

Add '-30' to each side of the equation.
30 + -30 + -6y = -12 + -30

Combine like terms: 30 + -30 = 0
0 + -6y = -12 + -30
-6y = -12 + -30

Combine like terms: -12 + -30 = -42
-6y = -42

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

Simplifying
y = 7

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