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Simplifying 5t + 3(y + -8) = 3(y + 2) Reorder the terms: 5t + 3(-8 + y) = 3(y + 2) 5t + (-8 * 3 + y * 3) = 3(y + 2) 5t + (-24 + 3y) = 3(y + 2) Reorder the terms: -24 + 5t + 3y = 3(y + 2) Reorder the terms: -24 + 5t + 3y = 3(2 + y) -24 + 5t + 3y = (2 * 3 + y * 3) -24 + 5t + 3y = (6 + 3y) Add '-3y' to each side of the equation. -24 + 5t + 3y + -3y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 -24 + 5t + 0 = 6 + 3y + -3y -24 + 5t = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 -24 + 5t = 6 + 0 -24 + 5t = 6 Solving -24 + 5t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 5t = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 5t = 6 + 24 5t = 6 + 24 Combine like terms: 6 + 24 = 30 5t = 30 Divide each side by '5'. t = 6 Simplifying t = 6
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