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Simplifying (5 + -1y) + (6 + -1t) + -1(5 + -1y) = 0 Remove parenthesis around (5 + -1y) 5 + -1y + (6 + -1t) + -1(5 + -1y) = 0 Remove parenthesis around (6 + -1t) 5 + -1y + 6 + -1t + -1(5 + -1y) = 0 5 + -1y + 6 + -1t + (5 * -1 + -1y * -1) = 0 5 + -1y + 6 + -1t + (-5 + 1y) = 0 Reorder the terms: 5 + 6 + -5 + -1t + -1y + 1y = 0 Combine like terms: 5 + 6 = 11 11 + -5 + -1t + -1y + 1y = 0 Combine like terms: 11 + -5 = 6 6 + -1t + -1y + 1y = 0 Combine like terms: -1y + 1y = 0 6 + -1t + 0 = 0 6 + -1t = 0 Solving 6 + -1t = 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 + -6 + -1t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1t = 0 + -6 -1t = 0 + -6 Combine like terms: 0 + -6 = -6 -1t = -6 Divide each side by '-1'. t = 6 Simplifying t = 6
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