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Simplifying -3y + 4(9y + 5) = 7 + 9(6 + -1y) Reorder the terms: -3y + 4(5 + 9y) = 7 + 9(6 + -1y) -3y + (5 * 4 + 9y * 4) = 7 + 9(6 + -1y) -3y + (20 + 36y) = 7 + 9(6 + -1y) Reorder the terms: 20 + -3y + 36y = 7 + 9(6 + -1y) Combine like terms: -3y + 36y = 33y 20 + 33y = 7 + 9(6 + -1y) 20 + 33y = 7 + (6 * 9 + -1y * 9) 20 + 33y = 7 + (54 + -9y) Combine like terms: 7 + 54 = 61 20 + 33y = 61 + -9y Solving 20 + 33y = 61 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 20 + 33y + 9y = 61 + -9y + 9y Combine like terms: 33y + 9y = 42y 20 + 42y = 61 + -9y + 9y Combine like terms: -9y + 9y = 0 20 + 42y = 61 + 0 20 + 42y = 61 Add '-20' to each side of the equation. 20 + -20 + 42y = 61 + -20 Combine like terms: 20 + -20 = 0 0 + 42y = 61 + -20 42y = 61 + -20 Combine like terms: 61 + -20 = 41 42y = 41 Divide each side by '42'. y = 0.9761904762 Simplifying y = 0.9761904762
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