2y^2+13*y+6=2y^2+8*y+81

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Solution for 2y^2+13*y+6=2y^2+8*y+81 equation:


Simplifying
2y2 + 13y + 6 = 2y2 + 8y + 81

Reorder the terms:
6 + 13y + 2y2 = 2y2 + 8y + 81

Reorder the terms:
6 + 13y + 2y2 = 81 + 8y + 2y2

Add '-2y2' to each side of the equation.
6 + 13y + 2y2 + -2y2 = 81 + 8y + 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
6 + 13y + 0 = 81 + 8y + 2y2 + -2y2
6 + 13y = 81 + 8y + 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
6 + 13y = 81 + 8y + 0
6 + 13y = 81 + 8y

Solving
6 + 13y = 81 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
6 + 13y + -8y = 81 + 8y + -8y

Combine like terms: 13y + -8y = 5y
6 + 5y = 81 + 8y + -8y

Combine like terms: 8y + -8y = 0
6 + 5y = 81 + 0
6 + 5y = 81

Add '-6' to each side of the equation.
6 + -6 + 5y = 81 + -6

Combine like terms: 6 + -6 = 0
0 + 5y = 81 + -6
5y = 81 + -6

Combine like terms: 81 + -6 = 75
5y = 75

Divide each side by '5'.
y = 15

Simplifying
y = 15

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