5y+1=6y-5+8y

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Solution for 5y+1=6y-5+8y equation:


Simplifying
5y + 1 = 6y + -5 + 8y

Reorder the terms:
1 + 5y = 6y + -5 + 8y

Reorder the terms:
1 + 5y = -5 + 6y + 8y

Combine like terms: 6y + 8y = 14y
1 + 5y = -5 + 14y

Solving
1 + 5y = -5 + 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.
1 + 5y + -14y = -5 + 14y + -14y

Combine like terms: 5y + -14y = -9y
1 + -9y = -5 + 14y + -14y

Combine like terms: 14y + -14y = 0
1 + -9y = -5 + 0
1 + -9y = -5

Add '-1' to each side of the equation.
1 + -1 + -9y = -5 + -1

Combine like terms: 1 + -1 = 0
0 + -9y = -5 + -1
-9y = -5 + -1

Combine like terms: -5 + -1 = -6
-9y = -6

Divide each side by '-9'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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