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Simplifying 4(2t + 9) + 7y = -24 Reorder the terms: 4(9 + 2t) + 7y = -24 (9 * 4 + 2t * 4) + 7y = -24 (36 + 8t) + 7y = -24 Solving 36 + 8t + 7y = -24 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 8t + -36 + 7y = -24 + -36 Reorder the terms: 36 + -36 + 8t + 7y = -24 + -36 Combine like terms: 36 + -36 = 0 0 + 8t + 7y = -24 + -36 8t + 7y = -24 + -36 Combine like terms: -24 + -36 = -60 8t + 7y = -60 Add '-7y' to each side of the equation. 8t + 7y + -7y = -60 + -7y Combine like terms: 7y + -7y = 0 8t + 0 = -60 + -7y 8t = -60 + -7y Divide each side by '8'. t = -7.5 + -0.875y Simplifying t = -7.5 + -0.875y
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