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Simplifying -6(6y + -6) + -1(-5y + 9) = -4 Reorder the terms: -6(-6 + 6y) + -1(-5y + 9) = -4 (-6 * -6 + 6y * -6) + -1(-5y + 9) = -4 (36 + -36y) + -1(-5y + 9) = -4 Reorder the terms: 36 + -36y + -1(9 + -5y) = -4 36 + -36y + (9 * -1 + -5y * -1) = -4 36 + -36y + (-9 + 5y) = -4 Reorder the terms: 36 + -9 + -36y + 5y = -4 Combine like terms: 36 + -9 = 27 27 + -36y + 5y = -4 Combine like terms: -36y + 5y = -31y 27 + -31y = -4 Solving 27 + -31y = -4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -31y = -4 + -27 Combine like terms: 27 + -27 = 0 0 + -31y = -4 + -27 -31y = -4 + -27 Combine like terms: -4 + -27 = -31 -31y = -31 Divide each side by '-31'. y = 1 Simplifying y = 1
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