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Simplifying 4t(y + 3) = 2y + -1(5y + -27) Reorder the terms: 4t(3 + y) = 2y + -1(5y + -27) (3 * 4t + y * 4t) = 2y + -1(5y + -27) (12t + 4ty) = 2y + -1(5y + -27) Reorder the terms: 12t + 4ty = 2y + -1(-27 + 5y) 12t + 4ty = 2y + (-27 * -1 + 5y * -1) 12t + 4ty = 2y + (27 + -5y) Reorder the terms: 12t + 4ty = 27 + 2y + -5y Combine like terms: 2y + -5y = -3y 12t + 4ty = 27 + -3y Solving 12t + 4ty = 27 + -3y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Reorder the terms: -27 + 12t + 4ty + 3y = 27 + -3y + -27 + 3y Reorder the terms: -27 + 12t + 4ty + 3y = 27 + -27 + -3y + 3y Combine like terms: 27 + -27 = 0 -27 + 12t + 4ty + 3y = 0 + -3y + 3y -27 + 12t + 4ty + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 -27 + 12t + 4ty + 3y = 0 The solution to this equation could not be determined.
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