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Simplifying 15 = 46 + -1(2y + 1) Reorder the terms: 15 = 46 + -1(1 + 2y) 15 = 46 + (1 * -1 + 2y * -1) 15 = 46 + (-1 + -2y) Combine like terms: 46 + -1 = 45 15 = 45 + -2y Solving 15 = 45 + -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. 15 + 2y = 45 + -2y + 2y Combine like terms: -2y + 2y = 0 15 + 2y = 45 + 0 15 + 2y = 45 Add '-15' to each side of the equation. 15 + -15 + 2y = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 2y = 45 + -15 2y = 45 + -15 Combine like terms: 45 + -15 = 30 2y = 30 Divide each side by '2'. y = 15 Simplifying y = 15
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