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Simplifying -6y + -1(-7y + -9) = 4 + 1(-6 + -1y) Reorder the terms: -6y + -1(-9 + -7y) = 4 + 1(-6 + -1y) -6y + (-9 * -1 + -7y * -1) = 4 + 1(-6 + -1y) -6y + (9 + 7y) = 4 + 1(-6 + -1y) Reorder the terms: 9 + -6y + 7y = 4 + 1(-6 + -1y) Combine like terms: -6y + 7y = 1y 9 + 1y = 4 + 1(-6 + -1y) 9 + 1y = 4 + (-6 * 1 + -1y * 1) 9 + 1y = 4 + (-6 + -1y) Combine like terms: 4 + -6 = -2 9 + 1y = -2 + -1y Solving 9 + 1y = -2 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 9 + 1y + y = -2 + -1y + y Combine like terms: 1y + y = 2y 9 + 2y = -2 + -1y + y Combine like terms: -1y + y = 0 9 + 2y = -2 + 0 9 + 2y = -2 Add '-9' to each side of the equation. 9 + -9 + 2y = -2 + -9 Combine like terms: 9 + -9 = 0 0 + 2y = -2 + -9 2y = -2 + -9 Combine like terms: -2 + -9 = -11 2y = -11 Divide each side by '2'. y = -5.5 Simplifying y = -5.5
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