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Simplifying 10y + -9 = 8y + 1 Reorder the terms: -9 + 10y = 8y + 1 Reorder the terms: -9 + 10y = 1 + 8y Solving -9 + 10y = 1 + 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. -9 + 10y + -8y = 1 + 8y + -8y Combine like terms: 10y + -8y = 2y -9 + 2y = 1 + 8y + -8y Combine like terms: 8y + -8y = 0 -9 + 2y = 1 + 0 -9 + 2y = 1 Add '9' to each side of the equation. -9 + 9 + 2y = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 2y = 1 + 9 2y = 1 + 9 Combine like terms: 1 + 9 = 10 2y = 10 Divide each side by '2'. y = 5 Simplifying y = 5
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