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Simplifying 8y + -1(6(2(3y + -4) + -1(7y + 1)) + -12) = 0 Reorder the terms: 8y + -1(6(2(-4 + 3y) + -1(7y + 1)) + -12) = 0 8y + -1(6((-4 * 2 + 3y * 2) + -1(7y + 1)) + -12) = 0 8y + -1(6((-8 + 6y) + -1(7y + 1)) + -12) = 0 Reorder the terms: 8y + -1(6(-8 + 6y + -1(1 + 7y)) + -12) = 0 8y + -1(6(-8 + 6y + (1 * -1 + 7y * -1)) + -12) = 0 8y + -1(6(-8 + 6y + (-1 + -7y)) + -12) = 0 Reorder the terms: 8y + -1(6(-8 + -1 + 6y + -7y) + -12) = 0 Combine like terms: -8 + -1 = -9 8y + -1(6(-9 + 6y + -7y) + -12) = 0 Combine like terms: 6y + -7y = -1y 8y + -1(6(-9 + -1y) + -12) = 0 8y + -1((-9 * 6 + -1y * 6) + -12) = 0 8y + -1((-54 + -6y) + -12) = 0 Reorder the terms: 8y + -1(-54 + -12 + -6y) = 0 Combine like terms: -54 + -12 = -66 8y + -1(-66 + -6y) = 0 8y + (-66 * -1 + -6y * -1) = 0 8y + (66 + 6y) = 0 Reorder the terms: 66 + 8y + 6y = 0 Combine like terms: 8y + 6y = 14y 66 + 14y = 0 Solving 66 + 14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 14y = 0 + -66 Combine like terms: 66 + -66 = 0 0 + 14y = 0 + -66 14y = 0 + -66 Combine like terms: 0 + -66 = -66 14y = -66 Divide each side by '14'. y = -4.714285714 Simplifying y = -4.714285714
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