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Simplifying 4[2t + -1(3 + -1y) + 5] = -1(2 + 7t) 4[2t + (3 * -1 + -1y * -1) + 5] = -1(2 + 7t) 4[2t + (-3 + 1y) + 5] = -1(2 + 7t) Reorder the terms: 4[-3 + 5 + 2t + 1y] = -1(2 + 7t) Combine like terms: -3 + 5 = 2 4[2 + 2t + 1y] = -1(2 + 7t) [2 * 4 + 2t * 4 + 1y * 4] = -1(2 + 7t) [8 + 8t + 4y] = -1(2 + 7t) 8 + 8t + 4y = (2 * -1 + 7t * -1) 8 + 8t + 4y = (-2 + -7t) Solving 8 + 8t + 4y = -2 + -7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7t' to each side of the equation. 8 + 8t + 7t + 4y = -2 + -7t + 7t Combine like terms: 8t + 7t = 15t 8 + 15t + 4y = -2 + -7t + 7t Combine like terms: -7t + 7t = 0 8 + 15t + 4y = -2 + 0 8 + 15t + 4y = -2 Add '-8' to each side of the equation. 8 + 15t + -8 + 4y = -2 + -8 Reorder the terms: 8 + -8 + 15t + 4y = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 15t + 4y = -2 + -8 15t + 4y = -2 + -8 Combine like terms: -2 + -8 = -10 15t + 4y = -10 Add '-4y' to each side of the equation. 15t + 4y + -4y = -10 + -4y Combine like terms: 4y + -4y = 0 15t + 0 = -10 + -4y 15t = -10 + -4y Divide each side by '15'. t = -0.6666666667 + -0.2666666667y Simplifying t = -0.6666666667 + -0.2666666667y
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