y^2-8=22-6y^2

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Solution for y^2-8=22-6y^2 equation: 


Simplifying
y2 + -8 = 22 + -6y2

Reorder the terms:
-8 + y2 = 22 + -6y2

Solving
-8 + y2 = 22 + -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.
-8 + y2 + 6y2 = 22 + -6y2 + 6y2

Combine like terms: y2 + 6y2 = 7y2
-8 + 7y2 = 22 + -6y2 + 6y2

Combine like terms: -6y2 + 6y2 = 0
-8 + 7y2 = 22 + 0
-8 + 7y2 = 22

Add '8' to each side of the equation.
-8 + 8 + 7y2 = 22 + 8

Combine like terms: -8 + 8 = 0
0 + 7y2 = 22 + 8
7y2 = 22 + 8

Combine like terms: 22 + 8 = 30
7y2 = 30

Divide each side by '7'.
y2 = 4.285714286

Simplifying
y2 = 4.285714286

Take the square root of each side:
y = {-2.070196678, 2.070196678}

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