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