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Simplifying y2 + 8t + 12 = 0 Reorder the terms: 12 + 8t + y2 = 0 Solving 12 + 8t + y2 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 8t + -12 + y2 = 0 + -12 Reorder the terms: 12 + -12 + 8t + y2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 8t + y2 = 0 + -12 8t + y2 = 0 + -12 Combine like terms: 0 + -12 = -12 8t + y2 = -12 Add '-1y2' to each side of the equation. 8t + y2 + -1y2 = -12 + -1y2 Combine like terms: y2 + -1y2 = 0 8t + 0 = -12 + -1y2 8t = -12 + -1y2 Divide each side by '8'. t = -1.5 + -0.125y2 Simplifying t = -1.5 + -0.125y2
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