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Simplifying 6 + -1(3y + -9) = -2(5 + -1y) Reorder the terms: 6 + -1(-9 + 3y) = -2(5 + -1y) 6 + (-9 * -1 + 3y * -1) = -2(5 + -1y) 6 + (9 + -3y) = -2(5 + -1y) Combine like terms: 6 + 9 = 15 15 + -3y = -2(5 + -1y) 15 + -3y = (5 * -2 + -1y * -2) 15 + -3y = (-10 + 2y) Solving 15 + -3y = -10 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 15 + -3y + -2y = -10 + 2y + -2y Combine like terms: -3y + -2y = -5y 15 + -5y = -10 + 2y + -2y Combine like terms: 2y + -2y = 0 15 + -5y = -10 + 0 15 + -5y = -10 Add '-15' to each side of the equation. 15 + -15 + -5y = -10 + -15 Combine like terms: 15 + -15 = 0 0 + -5y = -10 + -15 -5y = -10 + -15 Combine like terms: -10 + -15 = -25 -5y = -25 Divide each side by '-5'. y = 5 Simplifying y = 5
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