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Simplifying 5y + 2(y + -7) = 5(y + 1) + -2 Reorder the terms: 5y + 2(-7 + y) = 5(y + 1) + -2 5y + (-7 * 2 + y * 2) = 5(y + 1) + -2 5y + (-14 + 2y) = 5(y + 1) + -2 Reorder the terms: -14 + 5y + 2y = 5(y + 1) + -2 Combine like terms: 5y + 2y = 7y -14 + 7y = 5(y + 1) + -2 Reorder the terms: -14 + 7y = 5(1 + y) + -2 -14 + 7y = (1 * 5 + y * 5) + -2 -14 + 7y = (5 + 5y) + -2 Reorder the terms: -14 + 7y = 5 + -2 + 5y Combine like terms: 5 + -2 = 3 -14 + 7y = 3 + 5y Solving -14 + 7y = 3 + 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. -14 + 7y + -5y = 3 + 5y + -5y Combine like terms: 7y + -5y = 2y -14 + 2y = 3 + 5y + -5y Combine like terms: 5y + -5y = 0 -14 + 2y = 3 + 0 -14 + 2y = 3 Add '14' to each side of the equation. -14 + 14 + 2y = 3 + 14 Combine like terms: -14 + 14 = 0 0 + 2y = 3 + 14 2y = 3 + 14 Combine like terms: 3 + 14 = 17 2y = 17 Divide each side by '2'. y = 8.5 Simplifying y = 8.5
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