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Simplifying 6 + -1(2y + -9) = 8 + -3y Reorder the terms: 6 + -1(-9 + 2y) = 8 + -3y 6 + (-9 * -1 + 2y * -1) = 8 + -3y 6 + (9 + -2y) = 8 + -3y Combine like terms: 6 + 9 = 15 15 + -2y = 8 + -3y Solving 15 + -2y = 8 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 15 + -2y + 3y = 8 + -3y + 3y Combine like terms: -2y + 3y = 1y 15 + 1y = 8 + -3y + 3y Combine like terms: -3y + 3y = 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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