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Simplifying 107 = 107(47 + -1y) 107 = (47 * 107 + -1y * 107) 107 = (5029 + -107y) Solving 107 = 5029 + -107y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '107y' to each side of the equation. 107 + 107y = 5029 + -107y + 107y Combine like terms: -107y + 107y = 0 107 + 107y = 5029 + 0 107 + 107y = 5029 Add '-107' to each side of the equation. 107 + -107 + 107y = 5029 + -107 Combine like terms: 107 + -107 = 0 0 + 107y = 5029 + -107 107y = 5029 + -107 Combine like terms: 5029 + -107 = 4922 107y = 4922 Divide each side by '107'. y = 46 Simplifying y = 46
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