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Simplifying (3y + 7) * 7 + -1(9 + 7y) * 4 + -5t = -7 Reorder the terms: (7 + 3y) * 7 + -1(9 + 7y) * 4 + -5t = -7 Reorder the terms for easier multiplication: 7(7 + 3y) + -1(9 + 7y) * 4 + -5t = -7 (7 * 7 + 3y * 7) + -1(9 + 7y) * 4 + -5t = -7 (49 + 21y) + -1(9 + 7y) * 4 + -5t = -7 Reorder the terms for easier multiplication: 49 + 21y + -1 * 4(9 + 7y) + -5t = -7 Multiply -1 * 4 49 + 21y + -4(9 + 7y) + -5t = -7 49 + 21y + (9 * -4 + 7y * -4) + -5t = -7 49 + 21y + (-36 + -28y) + -5t = -7 Reorder the terms: 49 + -36 + -5t + 21y + -28y = -7 Combine like terms: 49 + -36 = 13 13 + -5t + 21y + -28y = -7 Combine like terms: 21y + -28y = -7y 13 + -5t + -7y = -7 Solving 13 + -5t + -7y = -7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -5t + -13 + -7y = -7 + -13 Reorder the terms: 13 + -13 + -5t + -7y = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -5t + -7y = -7 + -13 -5t + -7y = -7 + -13 Combine like terms: -7 + -13 = -20 -5t + -7y = -20 Add '7y' to each side of the equation. -5t + -7y + 7y = -20 + 7y Combine like terms: -7y + 7y = 0 -5t + 0 = -20 + 7y -5t = -20 + 7y Divide each side by '-5'. t = 4 + -1.4y Simplifying t = 4 + -1.4y
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