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Simplifying 12(5 + 2y) = 1 + -1(20t + 1) (5 * 12 + 2y * 12) = 1 + -1(20t + 1) (60 + 24y) = 1 + -1(20t + 1) Reorder the terms: 60 + 24y = 1 + -1(1 + 20t) 60 + 24y = 1 + (1 * -1 + 20t * -1) 60 + 24y = 1 + (-1 + -20t) Combine like terms: 1 + -1 = 0 60 + 24y = 0 + -20t 60 + 24y = -20t Solving 60 + 24y = -20t Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 24y = -60 + -20t Combine like terms: 60 + -60 = 0 0 + 24y = -60 + -20t 24y = -60 + -20t Divide each side by '24'. y = -2.5 + -0.8333333333t Simplifying y = -2.5 + -0.8333333333t
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