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Simplifying 3(2y + 3) + -4t = -3 Reorder the terms: 3(3 + 2y) + -4t = -3 (3 * 3 + 2y * 3) + -4t = -3 (9 + 6y) + -4t = -3 Reorder the terms: 9 + -4t + 6y = -3 Solving 9 + -4t + 6y = -3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -4t + -9 + 6y = -3 + -9 Reorder the terms: 9 + -9 + -4t + 6y = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -4t + 6y = -3 + -9 -4t + 6y = -3 + -9 Combine like terms: -3 + -9 = -12 -4t + 6y = -12 Add '-6y' to each side of the equation. -4t + 6y + -6y = -12 + -6y Combine like terms: 6y + -6y = 0 -4t + 0 = -12 + -6y -4t = -12 + -6y Divide each side by '-4'. t = 3 + 1.5y Simplifying t = 3 + 1.5y
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