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Simplifying (2y + -2) + (y + 5) + (3y + 1) + (2y + 6) + (y) + (3y + -4) + (y) + (y + 8) = 154 Reorder the terms: (-2 + 2y) + (y + 5) + (3y + 1) + (2y + 6) + (y) + (3y + -4) + (y) + (y + 8) = 154 Remove parenthesis around (-2 + 2y) -2 + 2y + (y + 5) + (3y + 1) + (2y + 6) + (y) + (3y + -4) + (y) + (y + 8) = 154 Reorder the terms: -2 + 2y + (5 + y) + (3y + 1) + (2y + 6) + (y) + (3y + -4) + (y) + (y + 8) = 154 Remove parenthesis around (5 + y) -2 + 2y + 5 + y + (3y + 1) + (2y + 6) + (y) + (3y + -4) + (y) + (y + 8) = 154 Reorder the terms: -2 + 2y + 5 + y + (1 + 3y) + (2y + 6) + (y) + (3y + -4) + (y) + (y + 8) = 154 Remove parenthesis around (1 + 3y) -2 + 2y + 5 + y + 1 + 3y + (2y + 6) + (y) + (3y + -4) + (y) + (y + 8) = 154 Reorder the terms: -2 + 2y + 5 + y + 1 + 3y + (6 + 2y) + (y) + (3y + -4) + (y) + (y + 8) = 154 Remove parenthesis around (6 + 2y) -2 + 2y + 5 + y + 1 + 3y + 6 + 2y + (y) + (3y + -4) + (y) + (y + 8) = 154 -2 + 2y + 5 + y + 1 + 3y + 6 + 2y + y + (3y + -4) + (y) + (y + 8) = 154 Reorder the terms: -2 + 2y + 5 + y + 1 + 3y + 6 + 2y + y + (-4 + 3y) + (y) + (y + 8) = 154 Remove parenthesis around (-4 + 3y) -2 + 2y + 5 + y + 1 + 3y + 6 + 2y + y + -4 + 3y + (y) + (y + 8) = 154 -2 + 2y + 5 + y + 1 + 3y + 6 + 2y + y + -4 + 3y + y + (y + 8) = 154 Reorder the terms: -2 + 2y + 5 + y + 1 + 3y + 6 + 2y + y + -4 + 3y + y + (8 + y) = 154 Remove parenthesis around (8 + y) -2 + 2y + 5 + y + 1 + 3y + 6 + 2y + y + -4 + 3y + y + 8 + y = 154 Reorder the terms: -2 + 5 + 1 + 6 + -4 + 8 + 2y + y + 3y + 2y + y + 3y + y + y = 154 Combine like terms: -2 + 5 = 3 3 + 1 + 6 + -4 + 8 + 2y + y + 3y + 2y + y + 3y + y + y = 154 Combine like terms: 3 + 1 = 4 4 + 6 + -4 + 8 + 2y + y + 3y + 2y + y + 3y + y + y = 154 Combine like terms: 4 + 6 = 10 10 + -4 + 8 + 2y + y + 3y + 2y + y + 3y + y + y = 154 Combine like terms: 10 + -4 = 6 6 + 8 + 2y + y + 3y + 2y + y + 3y + y + y = 154 Combine like terms: 6 + 8 = 14 14 + 2y + y + 3y + 2y + y + 3y + y + y = 154 Combine like terms: 2y + y = 3y 14 + 3y + 3y + 2y + y + 3y + y + y = 154 Combine like terms: 3y + 3y = 6y 14 + 6y + 2y + y + 3y + y + y = 154 Combine like terms: 6y + 2y = 8y 14 + 8y + y + 3y + y + y = 154 Combine like terms: 8y + y = 9y 14 + 9y + 3y + y + y = 154 Combine like terms: 9y + 3y = 12y 14 + 12y + y + y = 154 Combine like terms: 12y + y = 13y 14 + 13y + y = 154 Combine like terms: 13y + y = 14y 14 + 14y = 154 Solving 14 + 14y = 154 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 14y = 154 + -14 Combine like terms: 14 + -14 = 0 0 + 14y = 154 + -14 14y = 154 + -14 Combine like terms: 154 + -14 = 140 14y = 140 Divide each side by '14'. y = 10 Simplifying y = 10
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