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Simplifying -1(8y + 5) + -1(-7y + -6t) = -1 Reorder the terms: -1(5 + 8y) + -1(-7y + -6t) = -1 (5 * -1 + 8y * -1) + -1(-7y + -6t) = -1 (-5 + -8y) + -1(-7y + -6t) = -1 Reorder the terms: -5 + -8y + -1(-6t + -7y) = -1 -5 + -8y + (-6t * -1 + -7y * -1) = -1 -5 + -8y + (6t + 7y) = -1 Reorder the terms: -5 + 6t + -8y + 7y = -1 Combine like terms: -8y + 7y = -1y -5 + 6t + -1y = -1 Solving -5 + 6t + -1y = -1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 6t + 5 + -1y = -1 + 5 Reorder the terms: -5 + 5 + 6t + -1y = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 6t + -1y = -1 + 5 6t + -1y = -1 + 5 Combine like terms: -1 + 5 = 4 6t + -1y = 4 Add 'y' to each side of the equation. 6t + -1y + y = 4 + y Combine like terms: -1y + y = 0 6t + 0 = 4 + y 6t = 4 + y Divide each side by '6'. t = 0.6666666667 + 0.1666666667y Simplifying t = 0.6666666667 + 0.1666666667y
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