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Simplifying -4(3t + -5) + 9t = 8y + -9 Reorder the terms: -4(-5 + 3t) + 9t = 8y + -9 (-5 * -4 + 3t * -4) + 9t = 8y + -9 (20 + -12t) + 9t = 8y + -9 Combine like terms: -12t + 9t = -3t 20 + -3t = 8y + -9 Reorder the terms: 20 + -3t = -9 + 8y Solving 20 + -3t = -9 + 8y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -3t = -9 + -20 + 8y Combine like terms: 20 + -20 = 0 0 + -3t = -9 + -20 + 8y -3t = -9 + -20 + 8y Combine like terms: -9 + -20 = -29 -3t = -29 + 8y Divide each side by '-3'. t = 9.666666667 + -2.666666667y Simplifying t = 9.666666667 + -2.666666667y
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