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Simplifying 8 + -4(6y + 8) = -9(-1y + 2) + -7 Reorder the terms: 8 + -4(8 + 6y) = -9(-1y + 2) + -7 8 + (8 * -4 + 6y * -4) = -9(-1y + 2) + -7 8 + (-32 + -24y) = -9(-1y + 2) + -7 Combine like terms: 8 + -32 = -24 -24 + -24y = -9(-1y + 2) + -7 Reorder the terms: -24 + -24y = -9(2 + -1y) + -7 -24 + -24y = (2 * -9 + -1y * -9) + -7 -24 + -24y = (-18 + 9y) + -7 Reorder the terms: -24 + -24y = -18 + -7 + 9y Combine like terms: -18 + -7 = -25 -24 + -24y = -25 + 9y Solving -24 + -24y = -25 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -24 + -24y + -9y = -25 + 9y + -9y Combine like terms: -24y + -9y = -33y -24 + -33y = -25 + 9y + -9y Combine like terms: 9y + -9y = 0 -24 + -33y = -25 + 0 -24 + -33y = -25 Add '24' to each side of the equation. -24 + 24 + -33y = -25 + 24 Combine like terms: -24 + 24 = 0 0 + -33y = -25 + 24 -33y = -25 + 24 Combine like terms: -25 + 24 = -1 -33y = -1 Divide each side by '-33'. y = 0.0303030303 Simplifying y = 0.0303030303
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