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Simplifying 8t + y(t + -2) = -2 + -6(2t + 9) Reorder the terms: 8t + y(-2 + t) = -2 + -6(2t + 9) 8t + (-2 * y + t * y) = -2 + -6(2t + 9) Reorder the terms: 8t + (ty + -2y) = -2 + -6(2t + 9) 8t + (ty + -2y) = -2 + -6(2t + 9) Reorder the terms: 8t + ty + -2y = -2 + -6(9 + 2t) 8t + ty + -2y = -2 + (9 * -6 + 2t * -6) 8t + ty + -2y = -2 + (-54 + -12t) Combine like terms: -2 + -54 = -56 8t + ty + -2y = -56 + -12t Solving 8t + ty + -2y = -56 + -12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12t' to each side of the equation. 8t + ty + 12t + -2y = -56 + -12t + 12t Reorder the terms: 8t + 12t + ty + -2y = -56 + -12t + 12t Combine like terms: 8t + 12t = 20t 20t + ty + -2y = -56 + -12t + 12t Combine like terms: -12t + 12t = 0 20t + ty + -2y = -56 + 0 20t + ty + -2y = -56 Add '2y' to each side of the equation. 20t + ty + -2y + 2y = -56 + 2y Combine like terms: -2y + 2y = 0 20t + ty + 0 = -56 + 2y 20t + ty = -56 + 2y Reorder the terms: 56 + 20t + ty + -2y = -56 + 2y + 56 + -2y Reorder the terms: 56 + 20t + ty + -2y = -56 + 56 + 2y + -2y Combine like terms: -56 + 56 = 0 56 + 20t + ty + -2y = 0 + 2y + -2y 56 + 20t + ty + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 56 + 20t + ty + -2y = 0 The solution to this equation could not be determined.
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