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Simplifying -5(y + -2) + 8t = 7t + -5 Reorder the terms: -5(-2 + y) + 8t = 7t + -5 (-2 * -5 + y * -5) + 8t = 7t + -5 (10 + -5y) + 8t = 7t + -5 Reorder the terms: 10 + 8t + -5y = 7t + -5 Reorder the terms: 10 + 8t + -5y = -5 + 7t Solving 10 + 8t + -5y = -5 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 10 + 8t + -7t + -5y = -5 + 7t + -7t Combine like terms: 8t + -7t = 1t 10 + 1t + -5y = -5 + 7t + -7t Combine like terms: 7t + -7t = 0 10 + 1t + -5y = -5 + 0 10 + 1t + -5y = -5 Add '-10' to each side of the equation. 10 + 1t + -10 + -5y = -5 + -10 Reorder the terms: 10 + -10 + 1t + -5y = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 1t + -5y = -5 + -10 1t + -5y = -5 + -10 Combine like terms: -5 + -10 = -15 1t + -5y = -15 Add '5y' to each side of the equation. 1t + -5y + 5y = -15 + 5y Combine like terms: -5y + 5y = 0 1t + 0 = -15 + 5y 1t = -15 + 5y Divide each side by '1'. t = -15 + 5y Simplifying t = -15 + 5y
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