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Simplifying 7(y + 1) + -2(y + -1) = 2(y + 5) Reorder the terms: 7(1 + y) + -2(y + -1) = 2(y + 5) (1 * 7 + y * 7) + -2(y + -1) = 2(y + 5) (7 + 7y) + -2(y + -1) = 2(y + 5) Reorder the terms: 7 + 7y + -2(-1 + y) = 2(y + 5) 7 + 7y + (-1 * -2 + y * -2) = 2(y + 5) 7 + 7y + (2 + -2y) = 2(y + 5) Reorder the terms: 7 + 2 + 7y + -2y = 2(y + 5) Combine like terms: 7 + 2 = 9 9 + 7y + -2y = 2(y + 5) Combine like terms: 7y + -2y = 5y 9 + 5y = 2(y + 5) Reorder the terms: 9 + 5y = 2(5 + y) 9 + 5y = (5 * 2 + y * 2) 9 + 5y = (10 + 2y) Solving 9 + 5y = 10 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 9 + 5y + -2y = 10 + 2y + -2y Combine like terms: 5y + -2y = 3y 9 + 3y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 9 + 3y = 10 + 0 9 + 3y = 10 Add '-9' to each side of the equation. 9 + -9 + 3y = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 3y = 10 + -9 3y = 10 + -9 Combine like terms: 10 + -9 = 1 3y = 1 Divide each side by '3'. y = 0.3333333333 Simplifying y = 0.3333333333
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