-3y^2-3y-9+n-4y^2+6y+9=10-1.4n-4y^2

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Solution for -3y^2-3y-9+n-4y^2+6y+9=10-1.4n-4y^2 equation: 


Simplifying
-3y2 + -3y + -9 + n + -4y2 + 6y + 9 = 10 + -1.4n + -4y2

Reorder the terms:
-9 + 9 + n + -3y + 6y + -3y2 + -4y2 = 10 + -1.4n + -4y2

Combine like terms: -9 + 9 = 0
0 + n + -3y + 6y + -3y2 + -4y2 = 10 + -1.4n + -4y2
n + -3y + 6y + -3y2 + -4y2 = 10 + -1.4n + -4y2

Combine like terms: -3y + 6y = 3y
n + 3y + -3y2 + -4y2 = 10 + -1.4n + -4y2

Combine like terms: -3y2 + -4y2 = -7y2
n + 3y + -7y2 = 10 + -1.4n + -4y2

Solving
n + 3y + -7y2 = 10 + -1.4n + -4y2

Solving for variable 'n'.

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

Add '1.4n' to each side of the equation.
n + 3y + 1.4n + -7y2 = 10 + -1.4n + 1.4n + -4y2

Reorder the terms:
n + 1.4n + 3y + -7y2 = 10 + -1.4n + 1.4n + -4y2

Combine like terms: n + 1.4n = 2.4n
2.4n + 3y + -7y2 = 10 + -1.4n + 1.4n + -4y2

Combine like terms: -1.4n + 1.4n = 0.0
2.4n + 3y + -7y2 = 10 + 0.0 + -4y2
2.4n + 3y + -7y2 = 10 + -4y2

Add '-3y' to each side of the equation.
2.4n + 3y + -3y + -7y2 = 10 + -3y + -4y2

Combine like terms: 3y + -3y = 0
2.4n + 0 + -7y2 = 10 + -3y + -4y2
2.4n + -7y2 = 10 + -3y + -4y2

Add '7y2' to each side of the equation.
2.4n + -7y2 + 7y2 = 10 + -3y + -4y2 + 7y2

Combine like terms: -7y2 + 7y2 = 0
2.4n + 0 = 10 + -3y + -4y2 + 7y2
2.4n = 10 + -3y + -4y2 + 7y2

Combine like terms: -4y2 + 7y2 = 3y2
2.4n = 10 + -3y + 3y2

Divide each side by '2.4'.
n = 4.166666667 + -1.25y + 1.25y2

Simplifying
n = 4.166666667 + -1.25y + 1.25y2

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