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Simplifying 6(t + -1y) = 9(t + -4) (t * 6 + -1y * 6) = 9(t + -4) (6t + -6y) = 9(t + -4) Reorder the terms: 6t + -6y = 9(-4 + t) 6t + -6y = (-4 * 9 + t * 9) 6t + -6y = (-36 + 9t) Solving 6t + -6y = -36 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 6t + -9t + -6y = -36 + 9t + -9t Combine like terms: 6t + -9t = -3t -3t + -6y = -36 + 9t + -9t Combine like terms: 9t + -9t = 0 -3t + -6y = -36 + 0 -3t + -6y = -36 Add '6y' to each side of the equation. -3t + -6y + 6y = -36 + 6y Combine like terms: -6y + 6y = 0 -3t + 0 = -36 + 6y -3t = -36 + 6y Divide each side by '-3'. t = 12 + -2y Simplifying t = 12 + -2y
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