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Simplifying 2(y + 8) = -2(7y + -1) + 8y Reorder the terms: 2(8 + y) = -2(7y + -1) + 8y (8 * 2 + y * 2) = -2(7y + -1) + 8y (16 + 2y) = -2(7y + -1) + 8y Reorder the terms: 16 + 2y = -2(-1 + 7y) + 8y 16 + 2y = (-1 * -2 + 7y * -2) + 8y 16 + 2y = (2 + -14y) + 8y Combine like terms: -14y + 8y = -6y 16 + 2y = 2 + -6y Solving 16 + 2y = 2 + -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. 16 + 2y + 6y = 2 + -6y + 6y Combine like terms: 2y + 6y = 8y 16 + 8y = 2 + -6y + 6y Combine like terms: -6y + 6y = 0 16 + 8y = 2 + 0 16 + 8y = 2 Add '-16' to each side of the equation. 16 + -16 + 8y = 2 + -16 Combine like terms: 16 + -16 = 0 0 + 8y = 2 + -16 8y = 2 + -16 Combine like terms: 2 + -16 = -14 8y = -14 Divide each side by '8'. y = -1.75 Simplifying y = -1.75
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