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Simplifying -5(4y + -5) + 6t = 3t + -4 Reorder the terms: -5(-5 + 4y) + 6t = 3t + -4 (-5 * -5 + 4y * -5) + 6t = 3t + -4 (25 + -20y) + 6t = 3t + -4 Reorder the terms: 25 + 6t + -20y = 3t + -4 Reorder the terms: 25 + 6t + -20y = -4 + 3t Solving 25 + 6t + -20y = -4 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 25 + 6t + -3t + -20y = -4 + 3t + -3t Combine like terms: 6t + -3t = 3t 25 + 3t + -20y = -4 + 3t + -3t Combine like terms: 3t + -3t = 0 25 + 3t + -20y = -4 + 0 25 + 3t + -20y = -4 Add '-25' to each side of the equation. 25 + 3t + -25 + -20y = -4 + -25 Reorder the terms: 25 + -25 + 3t + -20y = -4 + -25 Combine like terms: 25 + -25 = 0 0 + 3t + -20y = -4 + -25 3t + -20y = -4 + -25 Combine like terms: -4 + -25 = -29 3t + -20y = -29 Add '20y' to each side of the equation. 3t + -20y + 20y = -29 + 20y Combine like terms: -20y + 20y = 0 3t + 0 = -29 + 20y 3t = -29 + 20y Divide each side by '3'. t = -9.666666667 + 6.666666667y Simplifying t = -9.666666667 + 6.666666667y
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