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Simplifying 7(y + -2) = 3(y + 3) + 2(y + 1) Reorder the terms: 7(-2 + y) = 3(y + 3) + 2(y + 1) (-2 * 7 + y * 7) = 3(y + 3) + 2(y + 1) (-14 + 7y) = 3(y + 3) + 2(y + 1) Reorder the terms: -14 + 7y = 3(3 + y) + 2(y + 1) -14 + 7y = (3 * 3 + y * 3) + 2(y + 1) -14 + 7y = (9 + 3y) + 2(y + 1) Reorder the terms: -14 + 7y = 9 + 3y + 2(1 + y) -14 + 7y = 9 + 3y + (1 * 2 + y * 2) -14 + 7y = 9 + 3y + (2 + 2y) Reorder the terms: -14 + 7y = 9 + 2 + 3y + 2y Combine like terms: 9 + 2 = 11 -14 + 7y = 11 + 3y + 2y Combine like terms: 3y + 2y = 5y -14 + 7y = 11 + 5y Solving -14 + 7y = 11 + 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 = 11 + 5y + -5y Combine like terms: 7y + -5y = 2y -14 + 2y = 11 + 5y + -5y Combine like terms: 5y + -5y = 0 -14 + 2y = 11 + 0 -14 + 2y = 11 Add '14' to each side of the equation. -14 + 14 + 2y = 11 + 14 Combine like terms: -14 + 14 = 0 0 + 2y = 11 + 14 2y = 11 + 14 Combine like terms: 11 + 14 = 25 2y = 25 Divide each side by '2'. y = 12.5 Simplifying y = 12.5
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