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Simplifying 5t + 2(y + -8) = 3(y + 2) + -5 Reorder the terms: 5t + 2(-8 + y) = 3(y + 2) + -5 5t + (-8 * 2 + y * 2) = 3(y + 2) + -5 5t + (-16 + 2y) = 3(y + 2) + -5 Reorder the terms: -16 + 5t + 2y = 3(y + 2) + -5 Reorder the terms: -16 + 5t + 2y = 3(2 + y) + -5 -16 + 5t + 2y = (2 * 3 + y * 3) + -5 -16 + 5t + 2y = (6 + 3y) + -5 Reorder the terms: -16 + 5t + 2y = 6 + -5 + 3y Combine like terms: 6 + -5 = 1 -16 + 5t + 2y = 1 + 3y Solving -16 + 5t + 2y = 1 + 3y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 5t + 16 + 2y = 1 + 16 + 3y Reorder the terms: -16 + 16 + 5t + 2y = 1 + 16 + 3y Combine like terms: -16 + 16 = 0 0 + 5t + 2y = 1 + 16 + 3y 5t + 2y = 1 + 16 + 3y Combine like terms: 1 + 16 = 17 5t + 2y = 17 + 3y Add '-2y' to each side of the equation. 5t + 2y + -2y = 17 + 3y + -2y Combine like terms: 2y + -2y = 0 5t + 0 = 17 + 3y + -2y 5t = 17 + 3y + -2y Combine like terms: 3y + -2y = 1y 5t = 17 + 1y Divide each side by '5'. t = 3.4 + 0.2y Simplifying t = 3.4 + 0.2y
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