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Simplifying 2(5y + 2) = 9y + 5 Reorder the terms: 2(2 + 5y) = 9y + 5 (2 * 2 + 5y * 2) = 9y + 5 (4 + 10y) = 9y + 5 Reorder the terms: 4 + 10y = 5 + 9y Solving 4 + 10y = 5 + 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. 4 + 10y + -9y = 5 + 9y + -9y Combine like terms: 10y + -9y = 1y 4 + 1y = 5 + 9y + -9y Combine like terms: 9y + -9y = 0 4 + 1y = 5 + 0 4 + 1y = 5 Add '-4' to each side of the equation. 4 + -4 + 1y = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 1y = 5 + -4 1y = 5 + -4 Combine like terms: 5 + -4 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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