(6y^2+y-8)+(9y^2-y-5)=

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Solution for (6y^2+y-8)+(9y^2-y-5)= equation: 


Simplifying
(6y2 + y + -8) + (9y2 + -1y + -5) = 0

Reorder the terms:
(-8 + y + 6y2) + (9y2 + -1y + -5) = 0

Remove parenthesis around (-8 + y + 6y2)
-8 + y + 6y2 + (9y2 + -1y + -5) = 0

Reorder the terms:
-8 + y + 6y2 + (-5 + -1y + 9y2) = 0

Remove parenthesis around (-5 + -1y + 9y2)
-8 + y + 6y2 + -5 + -1y + 9y2 = 0

Reorder the terms:
-8 + -5 + y + -1y + 6y2 + 9y2 = 0

Combine like terms: -8 + -5 = -13
-13 + y + -1y + 6y2 + 9y2 = 0

Combine like terms: y + -1y = 0
-13 + 0 + 6y2 + 9y2 = 0
-13 + 6y2 + 9y2 = 0

Combine like terms: 6y2 + 9y2 = 15y2
-13 + 15y2 = 0

Solving
-13 + 15y2 = 0

Solving for variable 'y'.

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

Add '13' to each side of the equation.
-13 + 13 + 15y2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 15y2 = 0 + 13
15y2 = 0 + 13

Combine like terms: 0 + 13 = 13
15y2 = 13

Divide each side by '15'.
y2 = 0.8666666667

Simplifying
y2 = 0.8666666667

Take the square root of each side:
y = {-0.930949336, 0.930949336}

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