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Simplifying 3t + 3(1 + -1y) + -1y = -6 3t + (1 * 3 + -1y * 3) + -1y = -6 3t + (3 + -3y) + -1y = -6 Reorder the terms: 3 + 3t + -3y + -1y = -6 Combine like terms: -3y + -1y = -4y 3 + 3t + -4y = -6 Solving 3 + 3t + -4y = -6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 3t + -3 + -4y = -6 + -3 Reorder the terms: 3 + -3 + 3t + -4y = -6 + -3 Combine like terms: 3 + -3 = 0 0 + 3t + -4y = -6 + -3 3t + -4y = -6 + -3 Combine like terms: -6 + -3 = -9 3t + -4y = -9 Add '4y' to each side of the equation. 3t + -4y + 4y = -9 + 4y Combine like terms: -4y + 4y = 0 3t + 0 = -9 + 4y 3t = -9 + 4y Divide each side by '3'. t = -3 + 1.333333333y Simplifying t = -3 + 1.333333333y
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