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Simplifying 16 + -1[5 + 10y + -4(y + 4)] = -5(4y + -5) + -1[5(y + -1) + -16y + 18] Reorder the terms: 16 + -1[5 + 10y + -4(4 + y)] = -5(4y + -5) + -1[5(y + -1) + -16y + 18] 16 + -1[5 + 10y + (4 * -4 + y * -4)] = -5(4y + -5) + -1[5(y + -1) + -16y + 18] 16 + -1[5 + 10y + (-16 + -4y)] = -5(4y + -5) + -1[5(y + -1) + -16y + 18] Reorder the terms: 16 + -1[5 + -16 + 10y + -4y] = -5(4y + -5) + -1[5(y + -1) + -16y + 18] Combine like terms: 5 + -16 = -11 16 + -1[-11 + 10y + -4y] = -5(4y + -5) + -1[5(y + -1) + -16y + 18] Combine like terms: 10y + -4y = 6y 16 + -1[-11 + 6y] = -5(4y + -5) + -1[5(y + -1) + -16y + 18] 16 + [-11 * -1 + 6y * -1] = -5(4y + -5) + -1[5(y + -1) + -16y + 18] 16 + [11 + -6y] = -5(4y + -5) + -1[5(y + -1) + -16y + 18] Combine like terms: 16 + 11 = 27 27 + -6y = -5(4y + -5) + -1[5(y + -1) + -16y + 18] Reorder the terms: 27 + -6y = -5(-5 + 4y) + -1[5(y + -1) + -16y + 18] 27 + -6y = (-5 * -5 + 4y * -5) + -1[5(y + -1) + -16y + 18] 27 + -6y = (25 + -20y) + -1[5(y + -1) + -16y + 18] Reorder the terms: 27 + -6y = 25 + -20y + -1[5(-1 + y) + -16y + 18] 27 + -6y = 25 + -20y + -1[(-1 * 5 + y * 5) + -16y + 18] 27 + -6y = 25 + -20y + -1[(-5 + 5y) + -16y + 18] Reorder the terms: 27 + -6y = 25 + -20y + -1[-5 + 18 + 5y + -16y] Combine like terms: -5 + 18 = 13 27 + -6y = 25 + -20y + -1[13 + 5y + -16y] Combine like terms: 5y + -16y = -11y 27 + -6y = 25 + -20y + -1[13 + -11y] 27 + -6y = 25 + -20y + [13 * -1 + -11y * -1] 27 + -6y = 25 + -20y + [-13 + 11y] Reorder the terms: 27 + -6y = 25 + -13 + -20y + 11y Combine like terms: 25 + -13 = 12 27 + -6y = 12 + -20y + 11y Combine like terms: -20y + 11y = -9y 27 + -6y = 12 + -9y Solving 27 + -6y = 12 + -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. 27 + -6y + 9y = 12 + -9y + 9y Combine like terms: -6y + 9y = 3y 27 + 3y = 12 + -9y + 9y Combine like terms: -9y + 9y = 0 27 + 3y = 12 + 0 27 + 3y = 12 Add '-27' to each side of the equation. 27 + -27 + 3y = 12 + -27 Combine like terms: 27 + -27 = 0 0 + 3y = 12 + -27 3y = 12 + -27 Combine like terms: 12 + -27 = -15 3y = -15 Divide each side by '3'. y = -5 Simplifying y = -5
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