y^2-2=11-6y^2

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Solution for y^2-2=11-6y^2 equation: 


Simplifying
y2 + -2 = 11 + -6y2

Reorder the terms:
-2 + y2 = 11 + -6y2

Solving
-2 + y2 = 11 + -6y2

Solving for variable 'y'.

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

Add '6y2' to each side of the equation.
-2 + y2 + 6y2 = 11 + -6y2 + 6y2

Combine like terms: y2 + 6y2 = 7y2
-2 + 7y2 = 11 + -6y2 + 6y2

Combine like terms: -6y2 + 6y2 = 0
-2 + 7y2 = 11 + 0
-2 + 7y2 = 11

Add '2' to each side of the equation.
-2 + 2 + 7y2 = 11 + 2

Combine like terms: -2 + 2 = 0
0 + 7y2 = 11 + 2
7y2 = 11 + 2

Combine like terms: 11 + 2 = 13
7y2 = 13

Divide each side by '7'.
y2 = 1.857142857

Simplifying
y2 = 1.857142857

Take the square root of each side:
y = {-1.362770288, 1.362770288}

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