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Simplifying -4y + -6(-6y + 7) = 2 + -9(-8 + -1y) Reorder the terms: -4y + -6(7 + -6y) = 2 + -9(-8 + -1y) -4y + (7 * -6 + -6y * -6) = 2 + -9(-8 + -1y) -4y + (-42 + 36y) = 2 + -9(-8 + -1y) Reorder the terms: -42 + -4y + 36y = 2 + -9(-8 + -1y) Combine like terms: -4y + 36y = 32y -42 + 32y = 2 + -9(-8 + -1y) -42 + 32y = 2 + (-8 * -9 + -1y * -9) -42 + 32y = 2 + (72 + 9y) Combine like terms: 2 + 72 = 74 -42 + 32y = 74 + 9y Solving -42 + 32y = 74 + 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. -42 + 32y + -9y = 74 + 9y + -9y Combine like terms: 32y + -9y = 23y -42 + 23y = 74 + 9y + -9y Combine like terms: 9y + -9y = 0 -42 + 23y = 74 + 0 -42 + 23y = 74 Add '42' to each side of the equation. -42 + 42 + 23y = 74 + 42 Combine like terms: -42 + 42 = 0 0 + 23y = 74 + 42 23y = 74 + 42 Combine like terms: 74 + 42 = 116 23y = 116 Divide each side by '23'. y = 5.043478261 Simplifying y = 5.043478261
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