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Simplifying 10y + 1 = 9y + 7 Reorder the terms: 1 + 10y = 9y + 7 Reorder the terms: 1 + 10y = 7 + 9y Solving 1 + 10y = 7 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 1 + 10y + -9y = 7 + 9y + -9y Combine like terms: 10y + -9y = 1y 1 + 1y = 7 + 9y + -9y Combine like terms: 9y + -9y = 0 1 + 1y = 7 + 0 1 + 1y = 7 Add '-1' to each side of the equation. 1 + -1 + 1y = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 1y = 7 + -1 1y = 7 + -1 Combine like terms: 7 + -1 = 6 1y = 6 Divide each side by '1'. y = 6 Simplifying y = 6
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