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Simplifying 5(y + -1) + 7(y + 1) = 83 Reorder the terms: 5(-1 + y) + 7(y + 1) = 83 (-1 * 5 + y * 5) + 7(y + 1) = 83 (-5 + 5y) + 7(y + 1) = 83 Reorder the terms: -5 + 5y + 7(1 + y) = 83 -5 + 5y + (1 * 7 + y * 7) = 83 -5 + 5y + (7 + 7y) = 83 Reorder the terms: -5 + 7 + 5y + 7y = 83 Combine like terms: -5 + 7 = 2 2 + 5y + 7y = 83 Combine like terms: 5y + 7y = 12y 2 + 12y = 83 Solving 2 + 12y = 83 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 12y = 83 + -2 Combine like terms: 2 + -2 = 0 0 + 12y = 83 + -2 12y = 83 + -2 Combine like terms: 83 + -2 = 81 12y = 81 Divide each side by '12'. y = 6.75 Simplifying y = 6.75
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