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Simplifying 12(5 + 2y) = 4y + -1(20t + 1) (5 * 12 + 2y * 12) = 4y + -1(20t + 1) (60 + 24y) = 4y + -1(20t + 1) Reorder the terms: 60 + 24y = 4y + -1(1 + 20t) 60 + 24y = 4y + (1 * -1 + 20t * -1) 60 + 24y = 4y + (-1 + -20t) Reorder the terms: 60 + 24y = -1 + -20t + 4y Solving 60 + 24y = -1 + -20t + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 60 + 24y + -4y = -1 + -20t + 4y + -4y Combine like terms: 24y + -4y = 20y 60 + 20y = -1 + -20t + 4y + -4y Combine like terms: 4y + -4y = 0 60 + 20y = -1 + -20t + 0 60 + 20y = -1 + -20t Add '-60' to each side of the equation. 60 + -60 + 20y = -1 + -60 + -20t Combine like terms: 60 + -60 = 0 0 + 20y = -1 + -60 + -20t 20y = -1 + -60 + -20t Combine like terms: -1 + -60 = -61 20y = -61 + -20t Divide each side by '20'. y = -3.05 + -1t Simplifying y = -3.05 + -1t
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