2y-31=6y+17

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Solution for 2y-31=6y+17 equation:


Simplifying
2y + -31 = 6y + 17

Reorder the terms:
-31 + 2y = 6y + 17

Reorder the terms:
-31 + 2y = 17 + 6y

Solving
-31 + 2y = 17 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-31 + 2y + -6y = 17 + 6y + -6y

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

Combine like terms: 6y + -6y = 0
-31 + -4y = 17 + 0
-31 + -4y = 17

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

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

Combine like terms: 17 + 31 = 48
-4y = 48

Divide each side by '-4'.
y = -12

Simplifying
y = -12

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