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Simplifying
2y2 + -8 = 6 + -2y2
Reorder the terms:
-8 + 2y2 = 6 + -2y2
Solving
-8 + 2y2 = 6 + -2y2
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '2y2' to each side of the equation.
-8 + 2y2 + 2y2 = 6 + -2y2 + 2y2
Combine like terms: 2y2 + 2y2 = 4y2
-8 + 4y2 = 6 + -2y2 + 2y2
Combine like terms: -2y2 + 2y2 = 0
-8 + 4y2 = 6 + 0
-8 + 4y2 = 6
Add '8' to each side of the equation.
-8 + 8 + 4y2 = 6 + 8
Combine like terms: -8 + 8 = 0
0 + 4y2 = 6 + 8
4y2 = 6 + 8
Combine like terms: 6 + 8 = 14
4y2 = 14
Divide each side by '4'.
y2 = 3.5
Simplifying
y2 = 3.5
Take the square root of each side:
y = {-1.870828693, 1.870828693}
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