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Simplifying 2 + -1(-80y + -23) + 26 = 77 + 2y + -1(1996 + -4y) Reorder the terms: 2 + -1(-23 + -80y) + 26 = 77 + 2y + -1(1996 + -4y) 2 + (-23 * -1 + -80y * -1) + 26 = 77 + 2y + -1(1996 + -4y) 2 + (23 + 80y) + 26 = 77 + 2y + -1(1996 + -4y) Reorder the terms: 2 + 23 + 26 + 80y = 77 + 2y + -1(1996 + -4y) Combine like terms: 2 + 23 = 25 25 + 26 + 80y = 77 + 2y + -1(1996 + -4y) Combine like terms: 25 + 26 = 51 51 + 80y = 77 + 2y + -1(1996 + -4y) 51 + 80y = 77 + 2y + (1996 * -1 + -4y * -1) 51 + 80y = 77 + 2y + (-1996 + 4y) Reorder the terms: 51 + 80y = 77 + -1996 + 2y + 4y Combine like terms: 77 + -1996 = -1919 51 + 80y = -1919 + 2y + 4y Combine like terms: 2y + 4y = 6y 51 + 80y = -1919 + 6y Solving 51 + 80y = -1919 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 51 + 80y + -6y = -1919 + 6y + -6y Combine like terms: 80y + -6y = 74y 51 + 74y = -1919 + 6y + -6y Combine like terms: 6y + -6y = 0 51 + 74y = -1919 + 0 51 + 74y = -1919 Add '-51' to each side of the equation. 51 + -51 + 74y = -1919 + -51 Combine like terms: 51 + -51 = 0 0 + 74y = -1919 + -51 74y = -1919 + -51 Combine like terms: -1919 + -51 = -1970 74y = -1970 Divide each side by '74'. y = -26.62162162 Simplifying y = -26.62162162
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