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Simplifying 6 + -1(3y + -9) = 8 + -4y Reorder the terms: 6 + -1(-9 + 3y) = 8 + -4y 6 + (-9 * -1 + 3y * -1) = 8 + -4y 6 + (9 + -3y) = 8 + -4y Combine like terms: 6 + 9 = 15 15 + -3y = 8 + -4y Solving 15 + -3y = 8 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 15 + -3y + 4y = 8 + -4y + 4y Combine like terms: -3y + 4y = 1y 15 + 1y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 15 + 1y = 8 + 0 15 + 1y = 8 Add '-15' to each side of the equation. 15 + -15 + 1y = 8 + -15 Combine like terms: 15 + -15 = 0 0 + 1y = 8 + -15 1y = 8 + -15 Combine like terms: 8 + -15 = -7 1y = -7 Divide each side by '1'. y = -7 Simplifying y = -7
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