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Simplifying 2(12y2 + -8y + 6) + -4(3y2 + -4y + 2) = 0 Reorder the terms: 2(6 + -8y + 12y2) + -4(3y2 + -4y + 2) = 0 (6 * 2 + -8y * 2 + 12y2 * 2) + -4(3y2 + -4y + 2) = 0 (12 + -16y + 24y2) + -4(3y2 + -4y + 2) = 0 Reorder the terms: 12 + -16y + 24y2 + -4(2 + -4y + 3y2) = 0 12 + -16y + 24y2 + (2 * -4 + -4y * -4 + 3y2 * -4) = 0 12 + -16y + 24y2 + (-8 + 16y + -12y2) = 0 Reorder the terms: 12 + -8 + -16y + 16y + 24y2 + -12y2 = 0 Combine like terms: 12 + -8 = 4 4 + -16y + 16y + 24y2 + -12y2 = 0 Combine like terms: -16y + 16y = 0 4 + 0 + 24y2 + -12y2 = 0 4 + 24y2 + -12y2 = 0 Combine like terms: 24y2 + -12y2 = 12y2 4 + 12y2 = 0 Solving 4 + 12y2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 12y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 12y2 = 0 + -4 12y2 = 0 + -4 Combine like terms: 0 + -4 = -4 12y2 = -4 Divide each side by '12'. y2 = -0.3333333333 Simplifying y2 = -0.3333333333 Reorder the terms: 0.3333333333 + y2 = -0.3333333333 + 0.3333333333 Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000 0.3333333333 + y2 = 0.0000000000 The solution to this equation could not be determined.
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