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Simplifying 7(y + -1) + -1 = 2 + 5y + 3 Reorder the terms: 7(-1 + y) + -1 = 2 + 5y + 3 (-1 * 7 + y * 7) + -1 = 2 + 5y + 3 (-7 + 7y) + -1 = 2 + 5y + 3 Reorder the terms: -7 + -1 + 7y = 2 + 5y + 3 Combine like terms: -7 + -1 = -8 -8 + 7y = 2 + 5y + 3 Reorder the terms: -8 + 7y = 2 + 3 + 5y Combine like terms: 2 + 3 = 5 -8 + 7y = 5 + 5y Solving -8 + 7y = 5 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -8 + 7y + -5y = 5 + 5y + -5y Combine like terms: 7y + -5y = 2y -8 + 2y = 5 + 5y + -5y Combine like terms: 5y + -5y = 0 -8 + 2y = 5 + 0 -8 + 2y = 5 Add '8' to each side of the equation. -8 + 8 + 2y = 5 + 8 Combine like terms: -8 + 8 = 0 0 + 2y = 5 + 8 2y = 5 + 8 Combine like terms: 5 + 8 = 13 2y = 13 Divide each side by '2'. y = 6.5 Simplifying y = 6.5
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