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Simplifying -4 + -9(3y + -2) = -8(-1y + -6) + 7 Reorder the terms: -4 + -9(-2 + 3y) = -8(-1y + -6) + 7 -4 + (-2 * -9 + 3y * -9) = -8(-1y + -6) + 7 -4 + (18 + -27y) = -8(-1y + -6) + 7 Combine like terms: -4 + 18 = 14 14 + -27y = -8(-1y + -6) + 7 Reorder the terms: 14 + -27y = -8(-6 + -1y) + 7 14 + -27y = (-6 * -8 + -1y * -8) + 7 14 + -27y = (48 + 8y) + 7 Reorder the terms: 14 + -27y = 48 + 7 + 8y Combine like terms: 48 + 7 = 55 14 + -27y = 55 + 8y Solving 14 + -27y = 55 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 14 + -27y + -8y = 55 + 8y + -8y Combine like terms: -27y + -8y = -35y 14 + -35y = 55 + 8y + -8y Combine like terms: 8y + -8y = 0 14 + -35y = 55 + 0 14 + -35y = 55 Add '-14' to each side of the equation. 14 + -14 + -35y = 55 + -14 Combine like terms: 14 + -14 = 0 0 + -35y = 55 + -14 -35y = 55 + -14 Combine like terms: 55 + -14 = 41 -35y = 41 Divide each side by '-35'. y = -1.171428571 Simplifying y = -1.171428571
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