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Simplifying
8y2 + -3y + -1 + 6y2 + 3y + -1 = 0
Reorder the terms:
-1 + -1 + -3y + 3y + 8y2 + 6y2 = 0
Combine like terms: -1 + -1 = -2
-2 + -3y + 3y + 8y2 + 6y2 = 0
Combine like terms: -3y + 3y = 0
-2 + 0 + 8y2 + 6y2 = 0
-2 + 8y2 + 6y2 = 0
Combine like terms: 8y2 + 6y2 = 14y2
-2 + 14y2 = 0
Solving
-2 + 14y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 14y2 = 0 + 2
Combine like terms: -2 + 2 = 0
0 + 14y2 = 0 + 2
14y2 = 0 + 2
Combine like terms: 0 + 2 = 2
14y2 = 2
Divide each side by '14'.
y2 = 0.1428571429
Simplifying
y2 = 0.1428571429
Take the square root of each side:
y = {-0.377964473, 0.377964473}
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