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Simplifying 3y2 + -1(5 + 3y)(y + -4) + -1(10 + 4y) * 2 = 0 Reorder the terms: 3y2 + -1(5 + 3y)(-4 + y) + -1(10 + 4y) * 2 = 0 Multiply (5 + 3y) * (-4 + y) 3y2 + -1(5(-4 + y) + 3y * (-4 + y)) + -1(10 + 4y) * 2 = 0 3y2 + -1((-4 * 5 + y * 5) + 3y * (-4 + y)) + -1(10 + 4y) * 2 = 0 3y2 + -1((-20 + 5y) + 3y * (-4 + y)) + -1(10 + 4y) * 2 = 0 3y2 + -1(-20 + 5y + (-4 * 3y + y * 3y)) + -1(10 + 4y) * 2 = 0 3y2 + -1(-20 + 5y + (-12y + 3y2)) + -1(10 + 4y) * 2 = 0 Combine like terms: 5y + -12y = -7y 3y2 + -1(-20 + -7y + 3y2) + -1(10 + 4y) * 2 = 0 3y2 + (-20 * -1 + -7y * -1 + 3y2 * -1) + -1(10 + 4y) * 2 = 0 3y2 + (20 + 7y + -3y2) + -1(10 + 4y) * 2 = 0 Reorder the terms for easier multiplication: 3y2 + 20 + 7y + -3y2 + -1 * 2(10 + 4y) = 0 Multiply -1 * 2 3y2 + 20 + 7y + -3y2 + -2(10 + 4y) = 0 3y2 + 20 + 7y + -3y2 + (10 * -2 + 4y * -2) = 0 3y2 + 20 + 7y + -3y2 + (-20 + -8y) = 0 Reorder the terms: 20 + -20 + 7y + -8y + 3y2 + -3y2 = 0 Combine like terms: 20 + -20 = 0 0 + 7y + -8y + 3y2 + -3y2 = 0 7y + -8y + 3y2 + -3y2 = 0 Combine like terms: 7y + -8y = -1y -1y + 3y2 + -3y2 = 0 Combine like terms: 3y2 + -3y2 = 0 -1y + 0 = 0 -1y = 0 Solving -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '-1'. y = 0 Simplifying y = 0
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