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Simplifying 8 + 5ty + -1y + 4ty = a Reorder the terms: 8 + 5ty + 4ty + -1y = a Combine like terms: 5ty + 4ty = 9ty 8 + 9ty + -1y = a Solving 8 + 9ty + -1y = a Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 9ty + -8 + -1y = -8 + a Reorder the terms: 8 + -8 + 9ty + -1y = -8 + a Combine like terms: 8 + -8 = 0 0 + 9ty + -1y = -8 + a 9ty + -1y = -8 + a Add 'y' to each side of the equation. 9ty + -1y + y = -8 + a + y Combine like terms: -1y + y = 0 9ty + 0 = -8 + a + y 9ty = -8 + a + y Divide each side by '9y'. t = -0.8888888889y-1 + 0.1111111111ay-1 + 0.1111111111 Simplifying t = -0.8888888889y-1 + 0.1111111111ay-1 + 0.1111111111 Reorder the terms: t = 0.1111111111 + 0.1111111111ay-1 + -0.8888888889y-1
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