53+6y-13=17y-14-2y

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Solution for 53+6y-13=17y-14-2y equation: 


Simplifying
53 + 6y + -13 = 17y + -14 + -2y

Reorder the terms:
53 + -13 + 6y = 17y + -14 + -2y

Combine like terms: 53 + -13 = 40
40 + 6y = 17y + -14 + -2y

Reorder the terms:
40 + 6y = -14 + 17y + -2y

Combine like terms: 17y + -2y = 15y
40 + 6y = -14 + 15y

Solving
40 + 6y = -14 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
40 + 6y + -15y = -14 + 15y + -15y

Combine like terms: 6y + -15y = -9y
40 + -9y = -14 + 15y + -15y

Combine like terms: 15y + -15y = 0
40 + -9y = -14 + 0
40 + -9y = -14

Add '-40' to each side of the equation.
40 + -40 + -9y = -14 + -40

Combine like terms: 40 + -40 = 0
0 + -9y = -14 + -40
-9y = -14 + -40

Combine like terms: -14 + -40 = -54
-9y = -54

Divide each side by '-9'.
y = 6

Simplifying
y = 6

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