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Simplifying -4y + -2(-2y + -7) = 9 + 2(-1 + -1y) Reorder the terms: -4y + -2(-7 + -2y) = 9 + 2(-1 + -1y) -4y + (-7 * -2 + -2y * -2) = 9 + 2(-1 + -1y) -4y + (14 + 4y) = 9 + 2(-1 + -1y) Reorder the terms: 14 + -4y + 4y = 9 + 2(-1 + -1y) Combine like terms: -4y + 4y = 0 14 + 0 = 9 + 2(-1 + -1y) 14 = 9 + 2(-1 + -1y) 14 = 9 + (-1 * 2 + -1y * 2) 14 = 9 + (-2 + -2y) Combine like terms: 9 + -2 = 7 14 = 7 + -2y Solving 14 = 7 + -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. 14 + 2y = 7 + -2y + 2y Combine like terms: -2y + 2y = 0 14 + 2y = 7 + 0 14 + 2y = 7 Add '-14' to each side of the equation. 14 + -14 + 2y = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 2y = 7 + -14 2y = 7 + -14 Combine like terms: 7 + -14 = -7 2y = -7 Divide each side by '2'. y = -3.5 Simplifying y = -3.5
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