6y+17=4y-31

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Solution for 6y+17=4y-31 equation: 


Simplifying
6y + 17 = 4y + -31

Reorder the terms:
17 + 6y = 4y + -31

Reorder the terms:
17 + 6y = -31 + 4y

Solving
17 + 6y = -31 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
17 + 6y + -4y = -31 + 4y + -4y

Combine like terms: 6y + -4y = 2y
17 + 2y = -31 + 4y + -4y

Combine like terms: 4y + -4y = 0
17 + 2y = -31 + 0
17 + 2y = -31

Add '-17' to each side of the equation.
17 + -17 + 2y = -31 + -17

Combine like terms: 17 + -17 = 0
0 + 2y = -31 + -17
2y = -31 + -17

Combine like terms: -31 + -17 = -48
2y = -48

Divide each side by '2'.
y = -24

Simplifying
y = -24

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