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Simplifying 4t + 14 = 2(5y + 6) Reorder the terms: 14 + 4t = 2(5y + 6) Reorder the terms: 14 + 4t = 2(6 + 5y) 14 + 4t = (6 * 2 + 5y * 2) 14 + 4t = (12 + 10y) Solving 14 + 4t = 12 + 10y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 4t = 12 + -14 + 10y Combine like terms: 14 + -14 = 0 0 + 4t = 12 + -14 + 10y 4t = 12 + -14 + 10y Combine like terms: 12 + -14 = -2 4t = -2 + 10y Divide each side by '4'. t = -0.5 + 2.5y Simplifying t = -0.5 + 2.5y
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