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Simplifying 20 + -1[1 + 6y + -4(y + 5)] = -4(5y + -6) + -1[6(y + -1) + -18y + 15] Reorder the terms: 20 + -1[1 + 6y + -4(5 + y)] = -4(5y + -6) + -1[6(y + -1) + -18y + 15] 20 + -1[1 + 6y + (5 * -4 + y * -4)] = -4(5y + -6) + -1[6(y + -1) + -18y + 15] 20 + -1[1 + 6y + (-20 + -4y)] = -4(5y + -6) + -1[6(y + -1) + -18y + 15] Reorder the terms: 20 + -1[1 + -20 + 6y + -4y] = -4(5y + -6) + -1[6(y + -1) + -18y + 15] Combine like terms: 1 + -20 = -19 20 + -1[-19 + 6y + -4y] = -4(5y + -6) + -1[6(y + -1) + -18y + 15] Combine like terms: 6y + -4y = 2y 20 + -1[-19 + 2y] = -4(5y + -6) + -1[6(y + -1) + -18y + 15] 20 + [-19 * -1 + 2y * -1] = -4(5y + -6) + -1[6(y + -1) + -18y + 15] 20 + [19 + -2y] = -4(5y + -6) + -1[6(y + -1) + -18y + 15] Combine like terms: 20 + 19 = 39 39 + -2y = -4(5y + -6) + -1[6(y + -1) + -18y + 15] Reorder the terms: 39 + -2y = -4(-6 + 5y) + -1[6(y + -1) + -18y + 15] 39 + -2y = (-6 * -4 + 5y * -4) + -1[6(y + -1) + -18y + 15] 39 + -2y = (24 + -20y) + -1[6(y + -1) + -18y + 15] Reorder the terms: 39 + -2y = 24 + -20y + -1[6(-1 + y) + -18y + 15] 39 + -2y = 24 + -20y + -1[(-1 * 6 + y * 6) + -18y + 15] 39 + -2y = 24 + -20y + -1[(-6 + 6y) + -18y + 15] Reorder the terms: 39 + -2y = 24 + -20y + -1[-6 + 15 + 6y + -18y] Combine like terms: -6 + 15 = 9 39 + -2y = 24 + -20y + -1[9 + 6y + -18y] Combine like terms: 6y + -18y = -12y 39 + -2y = 24 + -20y + -1[9 + -12y] 39 + -2y = 24 + -20y + [9 * -1 + -12y * -1] 39 + -2y = 24 + -20y + [-9 + 12y] Reorder the terms: 39 + -2y = 24 + -9 + -20y + 12y Combine like terms: 24 + -9 = 15 39 + -2y = 15 + -20y + 12y Combine like terms: -20y + 12y = -8y 39 + -2y = 15 + -8y Solving 39 + -2y = 15 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 39 + -2y + 8y = 15 + -8y + 8y Combine like terms: -2y + 8y = 6y 39 + 6y = 15 + -8y + 8y Combine like terms: -8y + 8y = 0 39 + 6y = 15 + 0 39 + 6y = 15 Add '-39' to each side of the equation. 39 + -39 + 6y = 15 + -39 Combine like terms: 39 + -39 = 0 0 + 6y = 15 + -39 6y = 15 + -39 Combine like terms: 15 + -39 = -24 6y = -24 Divide each side by '6'. y = -4 Simplifying y = -4
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