2y+6=5y-8

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Solution for 2y+6=5y-8 equation: 


Simplifying
2y + 6 = 5y + -8

Reorder the terms:
6 + 2y = 5y + -8

Reorder the terms:
6 + 2y = -8 + 5y

Solving
6 + 2y = -8 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
6 + 2y + -5y = -8 + 5y + -5y

Combine like terms: 2y + -5y = -3y
6 + -3y = -8 + 5y + -5y

Combine like terms: 5y + -5y = 0
6 + -3y = -8 + 0
6 + -3y = -8

Add '-6' to each side of the equation.
6 + -6 + -3y = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -3y = -8 + -6
-3y = -8 + -6

Combine like terms: -8 + -6 = -14
-3y = -14

Divide each side by '-3'.
y = 4.666666667

Simplifying
y = 4.666666667

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