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Simplifying -3(t + -4) + 5y = 4t + -9 Reorder the terms: -3(-4 + t) + 5y = 4t + -9 (-4 * -3 + t * -3) + 5y = 4t + -9 (12 + -3t) + 5y = 4t + -9 Reorder the terms: 12 + -3t + 5y = -9 + 4t Solving 12 + -3t + 5y = -9 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 12 + -3t + -4t + 5y = -9 + 4t + -4t Combine like terms: -3t + -4t = -7t 12 + -7t + 5y = -9 + 4t + -4t Combine like terms: 4t + -4t = 0 12 + -7t + 5y = -9 + 0 12 + -7t + 5y = -9 Add '-12' to each side of the equation. 12 + -7t + -12 + 5y = -9 + -12 Reorder the terms: 12 + -12 + -7t + 5y = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -7t + 5y = -9 + -12 -7t + 5y = -9 + -12 Combine like terms: -9 + -12 = -21 -7t + 5y = -21 Add '-5y' to each side of the equation. -7t + 5y + -5y = -21 + -5y Combine like terms: 5y + -5y = 0 -7t + 0 = -21 + -5y -7t = -21 + -5y Divide each side by '-7'. t = 3 + 0.7142857143y Simplifying t = 3 + 0.7142857143y
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