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Simplifying -4 + 7(8y + 4) = (6y + 7) + 8 Reorder the terms: -4 + 7(4 + 8y) = (6y + 7) + 8 -4 + (4 * 7 + 8y * 7) = (6y + 7) + 8 -4 + (28 + 56y) = (6y + 7) + 8 Combine like terms: -4 + 28 = 24 24 + 56y = (6y + 7) + 8 Reorder the terms: 24 + 56y = (7 + 6y) + 8 Remove parenthesis around (7 + 6y) 24 + 56y = 7 + 6y + 8 Reorder the terms: 24 + 56y = 7 + 8 + 6y Combine like terms: 7 + 8 = 15 24 + 56y = 15 + 6y Solving 24 + 56y = 15 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 24 + 56y + -6y = 15 + 6y + -6y Combine like terms: 56y + -6y = 50y 24 + 50y = 15 + 6y + -6y Combine like terms: 6y + -6y = 0 24 + 50y = 15 + 0 24 + 50y = 15 Add '-24' to each side of the equation. 24 + -24 + 50y = 15 + -24 Combine like terms: 24 + -24 = 0 0 + 50y = 15 + -24 50y = 15 + -24 Combine like terms: 15 + -24 = -9 50y = -9 Divide each side by '50'. y = -0.18 Simplifying y = -0.18
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