40+6y-1=17y-9-3y

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Solution for 40+6y-1=17y-9-3y equation:


Simplifying
40 + 6y + -1 = 17y + -9 + -3y

Reorder the terms:
40 + -1 + 6y = 17y + -9 + -3y

Combine like terms: 40 + -1 = 39
39 + 6y = 17y + -9 + -3y

Reorder the terms:
39 + 6y = -9 + 17y + -3y

Combine like terms: 17y + -3y = 14y
39 + 6y = -9 + 14y

Solving
39 + 6y = -9 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
39 + 6y + -14y = -9 + 14y + -14y

Combine like terms: 6y + -14y = -8y
39 + -8y = -9 + 14y + -14y

Combine like terms: 14y + -14y = 0
39 + -8y = -9 + 0
39 + -8y = -9

Add '-39' to each side of the equation.
39 + -39 + -8y = -9 + -39

Combine like terms: 39 + -39 = 0
0 + -8y = -9 + -39
-8y = -9 + -39

Combine like terms: -9 + -39 = -48
-8y = -48

Divide each side by '-8'.
y = 6

Simplifying
y = 6

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