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Simplifying 10t + 3y + -2 = 4y + 8 Reorder the terms: -2 + 10t + 3y = 4y + 8 Reorder the terms: -2 + 10t + 3y = 8 + 4y Solving -2 + 10t + 3y = 8 + 4y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 10t + 2 + 3y = 8 + 2 + 4y Reorder the terms: -2 + 2 + 10t + 3y = 8 + 2 + 4y Combine like terms: -2 + 2 = 0 0 + 10t + 3y = 8 + 2 + 4y 10t + 3y = 8 + 2 + 4y Combine like terms: 8 + 2 = 10 10t + 3y = 10 + 4y Add '-3y' to each side of the equation. 10t + 3y + -3y = 10 + 4y + -3y Combine like terms: 3y + -3y = 0 10t + 0 = 10 + 4y + -3y 10t = 10 + 4y + -3y Combine like terms: 4y + -3y = 1y 10t = 10 + 1y Divide each side by '10'. t = 1 + 0.1y Simplifying t = 1 + 0.1y
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