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Simplifying (7y + -1) + -1(y + -2) = -4 + 2(8 + -7y) Reorder the terms: (-1 + 7y) + -1(y + -2) = -4 + 2(8 + -7y) Remove parenthesis around (-1 + 7y) -1 + 7y + -1(y + -2) = -4 + 2(8 + -7y) Reorder the terms: -1 + 7y + -1(-2 + y) = -4 + 2(8 + -7y) -1 + 7y + (-2 * -1 + y * -1) = -4 + 2(8 + -7y) -1 + 7y + (2 + -1y) = -4 + 2(8 + -7y) Reorder the terms: -1 + 2 + 7y + -1y = -4 + 2(8 + -7y) Combine like terms: -1 + 2 = 1 1 + 7y + -1y = -4 + 2(8 + -7y) Combine like terms: 7y + -1y = 6y 1 + 6y = -4 + 2(8 + -7y) 1 + 6y = -4 + (8 * 2 + -7y * 2) 1 + 6y = -4 + (16 + -14y) Combine like terms: -4 + 16 = 12 1 + 6y = 12 + -14y Solving 1 + 6y = 12 + -14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14y' to each side of the equation. 1 + 6y + 14y = 12 + -14y + 14y Combine like terms: 6y + 14y = 20y 1 + 20y = 12 + -14y + 14y Combine like terms: -14y + 14y = 0 1 + 20y = 12 + 0 1 + 20y = 12 Add '-1' to each side of the equation. 1 + -1 + 20y = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 20y = 12 + -1 20y = 12 + -1 Combine like terms: 12 + -1 = 11 20y = 11 Divide each side by '20'. y = 0.55 Simplifying y = 0.55
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