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Simplifying 5 + -3(-6y + 3) = -9(-4y + -1) + -6 Reorder the terms: 5 + -3(3 + -6y) = -9(-4y + -1) + -6 5 + (3 * -3 + -6y * -3) = -9(-4y + -1) + -6 5 + (-9 + 18y) = -9(-4y + -1) + -6 Combine like terms: 5 + -9 = -4 -4 + 18y = -9(-4y + -1) + -6 Reorder the terms: -4 + 18y = -9(-1 + -4y) + -6 -4 + 18y = (-1 * -9 + -4y * -9) + -6 -4 + 18y = (9 + 36y) + -6 Reorder the terms: -4 + 18y = 9 + -6 + 36y Combine like terms: 9 + -6 = 3 -4 + 18y = 3 + 36y Solving -4 + 18y = 3 + 36y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36y' to each side of the equation. -4 + 18y + -36y = 3 + 36y + -36y Combine like terms: 18y + -36y = -18y -4 + -18y = 3 + 36y + -36y Combine like terms: 36y + -36y = 0 -4 + -18y = 3 + 0 -4 + -18y = 3 Add '4' to each side of the equation. -4 + 4 + -18y = 3 + 4 Combine like terms: -4 + 4 = 0 0 + -18y = 3 + 4 -18y = 3 + 4 Combine like terms: 3 + 4 = 7 -18y = 7 Divide each side by '-18'. y = -0.3888888889 Simplifying y = -0.3888888889
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