40+3y-17=14y-13-5y

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Solution for 40+3y-17=14y-13-5y equation: 


Simplifying
40 + 3y + -17 = 14y + -13 + -5y

Reorder the terms:
40 + -17 + 3y = 14y + -13 + -5y

Combine like terms: 40 + -17 = 23
23 + 3y = 14y + -13 + -5y

Reorder the terms:
23 + 3y = -13 + 14y + -5y

Combine like terms: 14y + -5y = 9y
23 + 3y = -13 + 9y

Solving
23 + 3y = -13 + 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.
23 + 3y + -9y = -13 + 9y + -9y

Combine like terms: 3y + -9y = -6y
23 + -6y = -13 + 9y + -9y

Combine like terms: 9y + -9y = 0
23 + -6y = -13 + 0
23 + -6y = -13

Add '-23' to each side of the equation.
23 + -23 + -6y = -13 + -23

Combine like terms: 23 + -23 = 0
0 + -6y = -13 + -23
-6y = -13 + -23

Combine like terms: -13 + -23 = -36
-6y = -36

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

Simplifying
y = 6

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