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Simplifying 7y + 1 = 8y + 5 Reorder the terms: 1 + 7y = 8y + 5 Reorder the terms: 1 + 7y = 5 + 8y Solving 1 + 7y = 5 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 1 + 7y + -8y = 5 + 8y + -8y Combine like terms: 7y + -8y = -1y 1 + -1y = 5 + 8y + -8y Combine like terms: 8y + -8y = 0 1 + -1y = 5 + 0 1 + -1y = 5 Add '-1' to each side of the equation. 1 + -1 + -1y = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 5 + -1 -1y = 5 + -1 Combine like terms: 5 + -1 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4
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