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Simplifying 9(y + 9) + -1(-7y + -4) = 15y Reorder the terms: 9(9 + y) + -1(-7y + -4) = 15y (9 * 9 + y * 9) + -1(-7y + -4) = 15y (81 + 9y) + -1(-7y + -4) = 15y Reorder the terms: 81 + 9y + -1(-4 + -7y) = 15y 81 + 9y + (-4 * -1 + -7y * -1) = 15y 81 + 9y + (4 + 7y) = 15y Reorder the terms: 81 + 4 + 9y + 7y = 15y Combine like terms: 81 + 4 = 85 85 + 9y + 7y = 15y Combine like terms: 9y + 7y = 16y 85 + 16y = 15y Solving 85 + 16y = 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 85 + 16y + -15y = 15y + -15y Combine like terms: 16y + -15y = 1y 85 + 1y = 15y + -15y Combine like terms: 15y + -15y = 0 85 + 1y = 0 Add '-85' to each side of the equation. 85 + -85 + 1y = 0 + -85 Combine like terms: 85 + -85 = 0 0 + 1y = 0 + -85 1y = 0 + -85 Combine like terms: 0 + -85 = -85 1y = -85 Divide each side by '1'. y = -85 Simplifying y = -85
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