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Simplifying -4y + -6(-8y + -4) = 2 + -9(8 + -1y) Reorder the terms: -4y + -6(-4 + -8y) = 2 + -9(8 + -1y) -4y + (-4 * -6 + -8y * -6) = 2 + -9(8 + -1y) -4y + (24 + 48y) = 2 + -9(8 + -1y) Reorder the terms: 24 + -4y + 48y = 2 + -9(8 + -1y) Combine like terms: -4y + 48y = 44y 24 + 44y = 2 + -9(8 + -1y) 24 + 44y = 2 + (8 * -9 + -1y * -9) 24 + 44y = 2 + (-72 + 9y) Combine like terms: 2 + -72 = -70 24 + 44y = -70 + 9y Solving 24 + 44y = -70 + 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 + 44y + -9y = -70 + 9y + -9y Combine like terms: 44y + -9y = 35y 24 + 35y = -70 + 9y + -9y Combine like terms: 9y + -9y = 0 24 + 35y = -70 + 0 24 + 35y = -70 Add '-24' to each side of the equation. 24 + -24 + 35y = -70 + -24 Combine like terms: 24 + -24 = 0 0 + 35y = -70 + -24 35y = -70 + -24 Combine like terms: -70 + -24 = -94 35y = -94 Divide each side by '35'. y = -2.685714286 Simplifying y = -2.685714286
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