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Simplifying -6 + -8(-6y + -7) = 7(4y + 9) + 4 Reorder the terms: -6 + -8(-7 + -6y) = 7(4y + 9) + 4 -6 + (-7 * -8 + -6y * -8) = 7(4y + 9) + 4 -6 + (56 + 48y) = 7(4y + 9) + 4 Combine like terms: -6 + 56 = 50 50 + 48y = 7(4y + 9) + 4 Reorder the terms: 50 + 48y = 7(9 + 4y) + 4 50 + 48y = (9 * 7 + 4y * 7) + 4 50 + 48y = (63 + 28y) + 4 Reorder the terms: 50 + 48y = 63 + 4 + 28y Combine like terms: 63 + 4 = 67 50 + 48y = 67 + 28y Solving 50 + 48y = 67 + 28y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28y' to each side of the equation. 50 + 48y + -28y = 67 + 28y + -28y Combine like terms: 48y + -28y = 20y 50 + 20y = 67 + 28y + -28y Combine like terms: 28y + -28y = 0 50 + 20y = 67 + 0 50 + 20y = 67 Add '-50' to each side of the equation. 50 + -50 + 20y = 67 + -50 Combine like terms: 50 + -50 = 0 0 + 20y = 67 + -50 20y = 67 + -50 Combine like terms: 67 + -50 = 17 20y = 17 Divide each side by '20'. y = 0.85 Simplifying y = 0.85
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