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Simplifying 9t + -4(y + 5) = 40 Reorder the terms: 9t + -4(5 + y) = 40 9t + (5 * -4 + y * -4) = 40 9t + (-20 + -4y) = 40 Reorder the terms: -20 + 9t + -4y = 40 Solving -20 + 9t + -4y = 40 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 9t + 20 + -4y = 40 + 20 Reorder the terms: -20 + 20 + 9t + -4y = 40 + 20 Combine like terms: -20 + 20 = 0 0 + 9t + -4y = 40 + 20 9t + -4y = 40 + 20 Combine like terms: 40 + 20 = 60 9t + -4y = 60 Add '4y' to each side of the equation. 9t + -4y + 4y = 60 + 4y Combine like terms: -4y + 4y = 0 9t + 0 = 60 + 4y 9t = 60 + 4y Divide each side by '9'. t = 6.666666667 + 0.4444444444y Simplifying t = 6.666666667 + 0.4444444444y
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