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Simplifying 9(2y + 1) = 2y + 1 Reorder the terms: 9(1 + 2y) = 2y + 1 (1 * 9 + 2y * 9) = 2y + 1 (9 + 18y) = 2y + 1 Reorder the terms: 9 + 18y = 1 + 2y Solving 9 + 18y = 1 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 9 + 18y + -2y = 1 + 2y + -2y Combine like terms: 18y + -2y = 16y 9 + 16y = 1 + 2y + -2y Combine like terms: 2y + -2y = 0 9 + 16y = 1 + 0 9 + 16y = 1 Add '-9' to each side of the equation. 9 + -9 + 16y = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 16y = 1 + -9 16y = 1 + -9 Combine like terms: 1 + -9 = -8 16y = -8 Divide each side by '16'. y = -0.5 Simplifying y = -0.5
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