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Simplifying 11 + -1(-2 + -4y) = 2(y + 2) 11 + (-2 * -1 + -4y * -1) = 2(y + 2) 11 + (2 + 4y) = 2(y + 2) Combine like terms: 11 + 2 = 13 13 + 4y = 2(y + 2) Reorder the terms: 13 + 4y = 2(2 + y) 13 + 4y = (2 * 2 + y * 2) 13 + 4y = (4 + 2y) Solving 13 + 4y = 4 + 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. 13 + 4y + -2y = 4 + 2y + -2y Combine like terms: 4y + -2y = 2y 13 + 2y = 4 + 2y + -2y Combine like terms: 2y + -2y = 0 13 + 2y = 4 + 0 13 + 2y = 4 Add '-13' to each side of the equation. 13 + -13 + 2y = 4 + -13 Combine like terms: 13 + -13 = 0 0 + 2y = 4 + -13 2y = 4 + -13 Combine like terms: 4 + -13 = -9 2y = -9 Divide each side by '2'. y = -4.5 Simplifying y = -4.5
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