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Simplifying 15y + -6y(4t + 8t) = 0 Combine like terms: 4t + 8t = 12t 15y + -6y(12t) = 0 Remove parenthesis around (12t) 15y + -6y * 12t = 0 Reorder the terms for easier multiplication: 15y + -6 * 12y * t = 0 Multiply -6 * 12 15y + -72y * t = 0 Multiply y * t 15y + -72ty = 0 Reorder the terms: -72ty + 15y = 0 Solving -72ty + 15y = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15y' to each side of the equation. -72ty + 15y + -15y = 0 + -15y Combine like terms: 15y + -15y = 0 -72ty + 0 = 0 + -15y -72ty = 0 + -15y Remove the zero: -72ty = -15y Divide each side by '-72y'. t = 0.2083333333 Simplifying t = 0.2083333333
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