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Simplifying 9(4y + -1) = 2(9y + 3) Reorder the terms: 9(-1 + 4y) = 2(9y + 3) (-1 * 9 + 4y * 9) = 2(9y + 3) (-9 + 36y) = 2(9y + 3) Reorder the terms: -9 + 36y = 2(3 + 9y) -9 + 36y = (3 * 2 + 9y * 2) -9 + 36y = (6 + 18y) Solving -9 + 36y = 6 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -9 + 36y + -18y = 6 + 18y + -18y Combine like terms: 36y + -18y = 18y -9 + 18y = 6 + 18y + -18y Combine like terms: 18y + -18y = 0 -9 + 18y = 6 + 0 -9 + 18y = 6 Add '9' to each side of the equation. -9 + 9 + 18y = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 18y = 6 + 9 18y = 6 + 9 Combine like terms: 6 + 9 = 15 18y = 15 Divide each side by '18'. y = 0.8333333333 Simplifying y = 0.8333333333
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