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Simplifying 5(2y + 1) = 2(12 + -1y) Reorder the terms: 5(1 + 2y) = 2(12 + -1y) (1 * 5 + 2y * 5) = 2(12 + -1y) (5 + 10y) = 2(12 + -1y) 5 + 10y = (12 * 2 + -1y * 2) 5 + 10y = (24 + -2y) Solving 5 + 10y = 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. 5 + 10y + 2y = 24 + -2y + 2y Combine like terms: 10y + 2y = 12y 5 + 12y = 24 + -2y + 2y Combine like terms: -2y + 2y = 0 5 + 12y = 24 + 0 5 + 12y = 24 Add '-5' to each side of the equation. 5 + -5 + 12y = 24 + -5 Combine like terms: 5 + -5 = 0 0 + 12y = 24 + -5 12y = 24 + -5 Combine like terms: 24 + -5 = 19 12y = 19 Divide each side by '12'. y = 1.583333333 Simplifying y = 1.583333333
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