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Simplifying 8 + -1(7y + 5) = 3[(4y + -5) + -1(y + -2)] Reorder the terms: 8 + -1(5 + 7y) = 3[(4y + -5) + -1(y + -2)] 8 + (5 * -1 + 7y * -1) = 3[(4y + -5) + -1(y + -2)] 8 + (-5 + -7y) = 3[(4y + -5) + -1(y + -2)] Combine like terms: 8 + -5 = 3 3 + -7y = 3[(4y + -5) + -1(y + -2)] Reorder the terms: 3 + -7y = 3[(-5 + 4y) + -1(y + -2)] Remove parenthesis around (-5 + 4y) 3 + -7y = 3[-5 + 4y + -1(y + -2)] Reorder the terms: 3 + -7y = 3[-5 + 4y + -1(-2 + y)] 3 + -7y = 3[-5 + 4y + (-2 * -1 + y * -1)] 3 + -7y = 3[-5 + 4y + (2 + -1y)] Reorder the terms: 3 + -7y = 3[-5 + 2 + 4y + -1y] Combine like terms: -5 + 2 = -3 3 + -7y = 3[-3 + 4y + -1y] Combine like terms: 4y + -1y = 3y 3 + -7y = 3[-3 + 3y] 3 + -7y = [-3 * 3 + 3y * 3] 3 + -7y = [-9 + 9y] Solving 3 + -7y = -9 + 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. 3 + -7y + -9y = -9 + 9y + -9y Combine like terms: -7y + -9y = -16y 3 + -16y = -9 + 9y + -9y Combine like terms: 9y + -9y = 0 3 + -16y = -9 + 0 3 + -16y = -9 Add '-3' to each side of the equation. 3 + -3 + -16y = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -16y = -9 + -3 -16y = -9 + -3 Combine like terms: -9 + -3 = -12 -16y = -12 Divide each side by '-16'. y = 0.75 Simplifying y = 0.75
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