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Simplifying 8y + 1 = -1y + 55 Reorder the terms: 1 + 8y = -1y + 55 Reorder the terms: 1 + 8y = 55 + -1y Solving 1 + 8y = 55 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 1 + 8y + y = 55 + -1y + y Combine like terms: 8y + y = 9y 1 + 9y = 55 + -1y + y Combine like terms: -1y + y = 0 1 + 9y = 55 + 0 1 + 9y = 55 Add '-1' to each side of the equation. 1 + -1 + 9y = 55 + -1 Combine like terms: 1 + -1 = 0 0 + 9y = 55 + -1 9y = 55 + -1 Combine like terms: 55 + -1 = 54 9y = 54 Divide each side by '9'. y = 6 Simplifying y = 6
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