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Simplifying y + 5(6y + 40) = 20(y + 1) + 9y Reorder the terms: y + 5(40 + 6y) = 20(y + 1) + 9y y + (40 * 5 + 6y * 5) = 20(y + 1) + 9y y + (200 + 30y) = 20(y + 1) + 9y Reorder the terms: 200 + y + 30y = 20(y + 1) + 9y Combine like terms: y + 30y = 31y 200 + 31y = 20(y + 1) + 9y Reorder the terms: 200 + 31y = 20(1 + y) + 9y 200 + 31y = (1 * 20 + y * 20) + 9y 200 + 31y = (20 + 20y) + 9y Combine like terms: 20y + 9y = 29y 200 + 31y = 20 + 29y Solving 200 + 31y = 20 + 29y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-29y' to each side of the equation. 200 + 31y + -29y = 20 + 29y + -29y Combine like terms: 31y + -29y = 2y 200 + 2y = 20 + 29y + -29y Combine like terms: 29y + -29y = 0 200 + 2y = 20 + 0 200 + 2y = 20 Add '-200' to each side of the equation. 200 + -200 + 2y = 20 + -200 Combine like terms: 200 + -200 = 0 0 + 2y = 20 + -200 2y = 20 + -200 Combine like terms: 20 + -200 = -180 2y = -180 Divide each side by '2'. y = -90 Simplifying y = -90
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