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Simplifying 12(5t + -2y) = 4y + -1(6 + -9y) (5t * 12 + -2y * 12) = 4y + -1(6 + -9y) (60t + -24y) = 4y + -1(6 + -9y) 60t + -24y = 4y + (6 * -1 + -9y * -1) 60t + -24y = 4y + (-6 + 9y) Reorder the terms: 60t + -24y = -6 + 4y + 9y Combine like terms: 4y + 9y = 13y 60t + -24y = -6 + 13y Solving 60t + -24y = -6 + 13y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24y' to each side of the equation. 60t + -24y + 24y = -6 + 13y + 24y Combine like terms: -24y + 24y = 0 60t + 0 = -6 + 13y + 24y 60t = -6 + 13y + 24y Combine like terms: 13y + 24y = 37y 60t = -6 + 37y Divide each side by '60'. t = -0.1 + 0.6166666667y Simplifying t = -0.1 + 0.6166666667y
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