6y+2=5y-8

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


Simplifying
6y + 2 = 5y + -8

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

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

Solving
2 + 6y = -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.
2 + 6y + -5y = -8 + 5y + -5y

Combine like terms: 6y + -5y = 1y
2 + 1y = -8 + 5y + -5y

Combine like terms: 5y + -5y = 0
2 + 1y = -8 + 0
2 + 1y = -8

Add '-2' to each side of the equation.
2 + -2 + 1y = -8 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = -8 + -2
1y = -8 + -2

Combine like terms: -8 + -2 = -10
1y = -10

Divide each side by '1'.
y = -10

Simplifying
y = -10

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