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Simplifying 2y + -5(y + -4) = 6 + -1(2y + -9) Reorder the terms: 2y + -5(-4 + y) = 6 + -1(2y + -9) 2y + (-4 * -5 + y * -5) = 6 + -1(2y + -9) 2y + (20 + -5y) = 6 + -1(2y + -9) Reorder the terms: 20 + 2y + -5y = 6 + -1(2y + -9) Combine like terms: 2y + -5y = -3y 20 + -3y = 6 + -1(2y + -9) Reorder the terms: 20 + -3y = 6 + -1(-9 + 2y) 20 + -3y = 6 + (-9 * -1 + 2y * -1) 20 + -3y = 6 + (9 + -2y) Combine like terms: 6 + 9 = 15 20 + -3y = 15 + -2y Solving 20 + -3y = 15 + -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. 20 + -3y + 2y = 15 + -2y + 2y Combine like terms: -3y + 2y = -1y 20 + -1y = 15 + -2y + 2y Combine like terms: -2y + 2y = 0 20 + -1y = 15 + 0 20 + -1y = 15 Add '-20' to each side of the equation. 20 + -20 + -1y = 15 + -20 Combine like terms: 20 + -20 = 0 0 + -1y = 15 + -20 -1y = 15 + -20 Combine like terms: 15 + -20 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5
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