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Simplifying 2t2 + -18 + -6y = y2 + -3y Reorder the terms: -18 + 2t2 + -6y = y2 + -3y Reorder the terms: -18 + 2t2 + -6y = -3y + y2 Solving -18 + 2t2 + -6y = -3y + y2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 2t2 + 18 + -6y = -3y + 18 + y2 Reorder the terms: -18 + 18 + 2t2 + -6y = -3y + 18 + y2 Combine like terms: -18 + 18 = 0 0 + 2t2 + -6y = -3y + 18 + y2 2t2 + -6y = -3y + 18 + y2 Reorder the terms: 2t2 + -6y = 18 + -3y + y2 Add '6y' to each side of the equation. 2t2 + -6y + 6y = 18 + -3y + 6y + y2 Combine like terms: -6y + 6y = 0 2t2 + 0 = 18 + -3y + 6y + y2 2t2 = 18 + -3y + 6y + y2 Combine like terms: -3y + 6y = 3y 2t2 = 18 + 3y + y2 Divide each side by '2'. t2 = 9 + 1.5y + 0.5y2 Simplifying t2 = 9 + 1.5y + 0.5y2 Reorder the terms: -9 + t2 + -1.5y + -0.5y2 = 9 + 1.5y + 0.5y2 + -9 + -1.5y + -0.5y2 Reorder the terms: -9 + t2 + -1.5y + -0.5y2 = 9 + -9 + 1.5y + -1.5y + 0.5y2 + -0.5y2 Combine like terms: 9 + -9 = 0 -9 + t2 + -1.5y + -0.5y2 = 0 + 1.5y + -1.5y + 0.5y2 + -0.5y2 -9 + t2 + -1.5y + -0.5y2 = 1.5y + -1.5y + 0.5y2 + -0.5y2 Combine like terms: 1.5y + -1.5y = 0.0 -9 + t2 + -1.5y + -0.5y2 = 0.0 + 0.5y2 + -0.5y2 -9 + t2 + -1.5y + -0.5y2 = 0.5y2 + -0.5y2 Combine like terms: 0.5y2 + -0.5y2 = 0.0 -9 + t2 + -1.5y + -0.5y2 = 0.0 The solution to this equation could not be determined.
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