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Simplifying 44(2y + 1) = 2(12 + -1y) Reorder the terms: 44(1 + 2y) = 2(12 + -1y) (1 * 44 + 2y * 44) = 2(12 + -1y) (44 + 88y) = 2(12 + -1y) 44 + 88y = (12 * 2 + -1y * 2) 44 + 88y = (24 + -2y) Solving 44 + 88y = 24 + -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. 44 + 88y + 2y = 24 + -2y + 2y Combine like terms: 88y + 2y = 90y 44 + 90y = 24 + -2y + 2y Combine like terms: -2y + 2y = 0 44 + 90y = 24 + 0 44 + 90y = 24 Add '-44' to each side of the equation. 44 + -44 + 90y = 24 + -44 Combine like terms: 44 + -44 = 0 0 + 90y = 24 + -44 90y = 24 + -44 Combine like terms: 24 + -44 = -20 90y = -20 Divide each side by '90'. y = -0.2222222222 Simplifying y = -0.2222222222
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