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Simplifying 8 + -1(3y + 5) = 5[(9y + -5) + -1(y + -7)] Reorder the terms: 8 + -1(5 + 3y) = 5[(9y + -5) + -1(y + -7)] 8 + (5 * -1 + 3y * -1) = 5[(9y + -5) + -1(y + -7)] 8 + (-5 + -3y) = 5[(9y + -5) + -1(y + -7)] Combine like terms: 8 + -5 = 3 3 + -3y = 5[(9y + -5) + -1(y + -7)] Reorder the terms: 3 + -3y = 5[(-5 + 9y) + -1(y + -7)] Remove parenthesis around (-5 + 9y) 3 + -3y = 5[-5 + 9y + -1(y + -7)] Reorder the terms: 3 + -3y = 5[-5 + 9y + -1(-7 + y)] 3 + -3y = 5[-5 + 9y + (-7 * -1 + y * -1)] 3 + -3y = 5[-5 + 9y + (7 + -1y)] Reorder the terms: 3 + -3y = 5[-5 + 7 + 9y + -1y] Combine like terms: -5 + 7 = 2 3 + -3y = 5[2 + 9y + -1y] Combine like terms: 9y + -1y = 8y 3 + -3y = 5[2 + 8y] 3 + -3y = [2 * 5 + 8y * 5] 3 + -3y = [10 + 40y] Solving 3 + -3y = 10 + 40y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-40y' to each side of the equation. 3 + -3y + -40y = 10 + 40y + -40y Combine like terms: -3y + -40y = -43y 3 + -43y = 10 + 40y + -40y Combine like terms: 40y + -40y = 0 3 + -43y = 10 + 0 3 + -43y = 10 Add '-3' to each side of the equation. 3 + -3 + -43y = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -43y = 10 + -3 -43y = 10 + -3 Combine like terms: 10 + -3 = 7 -43y = 7 Divide each side by '-43'. y = -0.1627906977 Simplifying y = -0.1627906977
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