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Simplifying -8(y + 3t) + -4(2y + -1t) = 0 Reorder the terms: -8(3t + y) + -4(2y + -1t) = 0 (3t * -8 + y * -8) + -4(2y + -1t) = 0 (-24t + -8y) + -4(2y + -1t) = 0 Reorder the terms: -24t + -8y + -4(-1t + 2y) = 0 -24t + -8y + (-1t * -4 + 2y * -4) = 0 -24t + -8y + (4t + -8y) = 0 Reorder the terms: -24t + 4t + -8y + -8y = 0 Combine like terms: -24t + 4t = -20t -20t + -8y + -8y = 0 Combine like terms: -8y + -8y = -16y -20t + -16y = 0 Solving -20t + -16y = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16y' to each side of the equation. -20t + -16y + 16y = 0 + 16y Combine like terms: -16y + 16y = 0 -20t + 0 = 0 + 16y -20t = 0 + 16y Remove the zero: -20t = 16y Divide each side by '-20'. t = -0.8y Simplifying t = -0.8y
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