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Simplifying -4 + -7(-5y + -1) = 3(7y + 6) + 5 Reorder the terms: -4 + -7(-1 + -5y) = 3(7y + 6) + 5 -4 + (-1 * -7 + -5y * -7) = 3(7y + 6) + 5 -4 + (7 + 35y) = 3(7y + 6) + 5 Combine like terms: -4 + 7 = 3 3 + 35y = 3(7y + 6) + 5 Reorder the terms: 3 + 35y = 3(6 + 7y) + 5 3 + 35y = (6 * 3 + 7y * 3) + 5 3 + 35y = (18 + 21y) + 5 Reorder the terms: 3 + 35y = 18 + 5 + 21y Combine like terms: 18 + 5 = 23 3 + 35y = 23 + 21y Solving 3 + 35y = 23 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. 3 + 35y + -21y = 23 + 21y + -21y Combine like terms: 35y + -21y = 14y 3 + 14y = 23 + 21y + -21y Combine like terms: 21y + -21y = 0 3 + 14y = 23 + 0 3 + 14y = 23 Add '-3' to each side of the equation. 3 + -3 + 14y = 23 + -3 Combine like terms: 3 + -3 = 0 0 + 14y = 23 + -3 14y = 23 + -3 Combine like terms: 23 + -3 = 20 14y = 20 Divide each side by '14'. y = 1.428571429 Simplifying y = 1.428571429
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