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Simplifying 12(5 + 2y) = 8(-2t + 11) (5 * 12 + 2y * 12) = 8(-2t + 11) (60 + 24y) = 8(-2t + 11) Reorder the terms: 60 + 24y = 8(11 + -2t) 60 + 24y = (11 * 8 + -2t * 8) 60 + 24y = (88 + -16t) Solving 60 + 24y = 88 + -16t 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 = 88 + -60 + -16t Combine like terms: 60 + -60 = 0 0 + 24y = 88 + -60 + -16t 24y = 88 + -60 + -16t Combine like terms: 88 + -60 = 28 24y = 28 + -16t Divide each side by '24'. y = 1.166666667 + -0.6666666667t Simplifying y = 1.166666667 + -0.6666666667t
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