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Simplifying
6y2 + 4(3y2 + -2) = 0
Reorder the terms:
6y2 + 4(-2 + 3y2) = 0
6y2 + (-2 * 4 + 3y2 * 4) = 0
6y2 + (-8 + 12y2) = 0
Reorder the terms:
-8 + 6y2 + 12y2 = 0
Combine like terms: 6y2 + 12y2 = 18y2
-8 + 18y2 = 0
Solving
-8 + 18y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 18y2 = 0 + 8
Combine like terms: -8 + 8 = 0
0 + 18y2 = 0 + 8
18y2 = 0 + 8
Combine like terms: 0 + 8 = 8
18y2 = 8
Divide each side by '18'.
y2 = 0.4444444444
Simplifying
y2 = 0.4444444444
Take the square root of each side:
y = {-0.666666667, 0.666666667}
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