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Simplifying y(3t + 1) = 2 Reorder the terms: y(1 + 3t) = 2 (1 * y + 3t * y) = 2 Reorder the terms: (3ty + 1y) = 2 (3ty + 1y) = 2 Solving 3ty + 1y = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1y' to each side of the equation. 3ty + 1y + -1y = 2 + -1y Combine like terms: 1y + -1y = 0 3ty + 0 = 2 + -1y 3ty = 2 + -1y Divide each side by '3y'. t = 0.6666666667y-1 + -0.3333333333 Simplifying t = 0.6666666667y-1 + -0.3333333333 Reorder the terms: t = -0.3333333333 + 0.6666666667y-1
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