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Simplifying -6(-8y + -7) + 7 = -9 + 5(3y + 7) + -2y Reorder the terms: -6(-7 + -8y) + 7 = -9 + 5(3y + 7) + -2y (-7 * -6 + -8y * -6) + 7 = -9 + 5(3y + 7) + -2y (42 + 48y) + 7 = -9 + 5(3y + 7) + -2y Reorder the terms: 42 + 7 + 48y = -9 + 5(3y + 7) + -2y Combine like terms: 42 + 7 = 49 49 + 48y = -9 + 5(3y + 7) + -2y Reorder the terms: 49 + 48y = -9 + 5(7 + 3y) + -2y 49 + 48y = -9 + (7 * 5 + 3y * 5) + -2y 49 + 48y = -9 + (35 + 15y) + -2y Combine like terms: -9 + 35 = 26 49 + 48y = 26 + 15y + -2y Combine like terms: 15y + -2y = 13y 49 + 48y = 26 + 13y Solving 49 + 48y = 26 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 49 + 48y + -13y = 26 + 13y + -13y Combine like terms: 48y + -13y = 35y 49 + 35y = 26 + 13y + -13y Combine like terms: 13y + -13y = 0 49 + 35y = 26 + 0 49 + 35y = 26 Add '-49' to each side of the equation. 49 + -49 + 35y = 26 + -49 Combine like terms: 49 + -49 = 0 0 + 35y = 26 + -49 35y = 26 + -49 Combine like terms: 26 + -49 = -23 35y = -23 Divide each side by '35'. y = -0.6571428571 Simplifying y = -0.6571428571
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