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Simplifying 9 + -1(1 + -3y) = 48 + y + -1(3 + -1y) 9 + (1 * -1 + -3y * -1) = 48 + y + -1(3 + -1y) 9 + (-1 + 3y) = 48 + y + -1(3 + -1y) Combine like terms: 9 + -1 = 8 8 + 3y = 48 + y + -1(3 + -1y) 8 + 3y = 48 + y + (3 * -1 + -1y * -1) 8 + 3y = 48 + y + (-3 + 1y) Reorder the terms: 8 + 3y = 48 + -3 + y + 1y Combine like terms: 48 + -3 = 45 8 + 3y = 45 + y + 1y Combine like terms: y + 1y = 2y 8 + 3y = 45 + 2y Solving 8 + 3y = 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. 8 + 3y + -2y = 45 + 2y + -2y Combine like terms: 3y + -2y = 1y 8 + 1y = 45 + 2y + -2y Combine like terms: 2y + -2y = 0 8 + 1y = 45 + 0 8 + 1y = 45 Add '-8' to each side of the equation. 8 + -8 + 1y = 45 + -8 Combine like terms: 8 + -8 = 0 0 + 1y = 45 + -8 1y = 45 + -8 Combine like terms: 45 + -8 = 37 1y = 37 Divide each side by '1'. y = 37 Simplifying y = 37
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