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Simplifying -8 + 3(-9y + -2) = -1(-3y + -6) + 8 Reorder the terms: -8 + 3(-2 + -9y) = -1(-3y + -6) + 8 -8 + (-2 * 3 + -9y * 3) = -1(-3y + -6) + 8 -8 + (-6 + -27y) = -1(-3y + -6) + 8 Combine like terms: -8 + -6 = -14 -14 + -27y = -1(-3y + -6) + 8 Reorder the terms: -14 + -27y = -1(-6 + -3y) + 8 -14 + -27y = (-6 * -1 + -3y * -1) + 8 -14 + -27y = (6 + 3y) + 8 Reorder the terms: -14 + -27y = 6 + 8 + 3y Combine like terms: 6 + 8 = 14 -14 + -27y = 14 + 3y Solving -14 + -27y = 14 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -14 + -27y + -3y = 14 + 3y + -3y Combine like terms: -27y + -3y = -30y -14 + -30y = 14 + 3y + -3y Combine like terms: 3y + -3y = 0 -14 + -30y = 14 + 0 -14 + -30y = 14 Add '14' to each side of the equation. -14 + 14 + -30y = 14 + 14 Combine like terms: -14 + 14 = 0 0 + -30y = 14 + 14 -30y = 14 + 14 Combine like terms: 14 + 14 = 28 -30y = 28 Divide each side by '-30'. y = -0.9333333333 Simplifying y = -0.9333333333
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