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Simplifying 5yt + y + 6 = 8y + 4 Reorder the terms: 6 + 5ty + y = 8y + 4 Reorder the terms: 6 + 5ty + y = 4 + 8y Solving 6 + 5ty + y = 4 + 8y 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 + 5ty + -6 + y = 4 + -6 + 8y Reorder the terms: 6 + -6 + 5ty + y = 4 + -6 + 8y Combine like terms: 6 + -6 = 0 0 + 5ty + y = 4 + -6 + 8y 5ty + y = 4 + -6 + 8y Combine like terms: 4 + -6 = -2 5ty + y = -2 + 8y Add '-1y' to each side of the equation. 5ty + y + -1y = -2 + 8y + -1y Combine like terms: y + -1y = 0 5ty + 0 = -2 + 8y + -1y 5ty = -2 + 8y + -1y Combine like terms: 8y + -1y = 7y 5ty = -2 + 7y Divide each side by '5y'. t = -0.4y-1 + 1.4 Simplifying t = -0.4y-1 + 1.4 Reorder the terms: t = 1.4 + -0.4y-1
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