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Simplifying 10y + -29 = 5y + 16 Reorder the terms: -29 + 10y = 5y + 16 Reorder the terms: -29 + 10y = 16 + 5y Solving -29 + 10y = 16 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -29 + 10y + -5y = 16 + 5y + -5y Combine like terms: 10y + -5y = 5y -29 + 5y = 16 + 5y + -5y Combine like terms: 5y + -5y = 0 -29 + 5y = 16 + 0 -29 + 5y = 16 Add '29' to each side of the equation. -29 + 29 + 5y = 16 + 29 Combine like terms: -29 + 29 = 0 0 + 5y = 16 + 29 5y = 16 + 29 Combine like terms: 16 + 29 = 45 5y = 45 Divide each side by '5'. y = 9 Simplifying y = 9
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