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Simplifying 18 + -3y + 11 = 7t + 6y + -27 + -9y Reorder the terms: 18 + 11 + -3y = 7t + 6y + -27 + -9y Combine like terms: 18 + 11 = 29 29 + -3y = 7t + 6y + -27 + -9y Reorder the terms: 29 + -3y = -27 + 7t + 6y + -9y Combine like terms: 6y + -9y = -3y 29 + -3y = -27 + 7t + -3y Add '3y' to each side of the equation. 29 + -3y + 3y = -27 + 7t + -3y + 3y Combine like terms: -3y + 3y = 0 29 + 0 = -27 + 7t + -3y + 3y 29 = -27 + 7t + -3y + 3y Combine like terms: -3y + 3y = 0 29 = -27 + 7t + 0 29 = -27 + 7t Solving 29 = -27 + 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. 29 + -7t = -27 + 7t + -7t Combine like terms: 7t + -7t = 0 29 + -7t = -27 + 0 29 + -7t = -27 Add '-29' to each side of the equation. 29 + -29 + -7t = -27 + -29 Combine like terms: 29 + -29 = 0 0 + -7t = -27 + -29 -7t = -27 + -29 Combine like terms: -27 + -29 = -56 -7t = -56 Divide each side by '-7'. t = 8 Simplifying t = 8
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