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Simplifying 6 + 6y + 4t + -1y + -1t + -12 = 0 Reorder the terms: 6 + -12 + 4t + -1t + 6y + -1y = 0 Combine like terms: 6 + -12 = -6 -6 + 4t + -1t + 6y + -1y = 0 Combine like terms: 4t + -1t = 3t -6 + 3t + 6y + -1y = 0 Combine like terms: 6y + -1y = 5y -6 + 3t + 5y = 0 Solving -6 + 3t + 5y = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 3t + 6 + 5y = 0 + 6 Reorder the terms: -6 + 6 + 3t + 5y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3t + 5y = 0 + 6 3t + 5y = 0 + 6 Combine like terms: 0 + 6 = 6 3t + 5y = 6 Add '-5y' to each side of the equation. 3t + 5y + -5y = 6 + -5y Combine like terms: 5y + -5y = 0 3t + 0 = 6 + -5y 3t = 6 + -5y Divide each side by '3'. t = 2 + -1.666666667y Simplifying t = 2 + -1.666666667y
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