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Simplifying 2(11y + 11) = -5(-6 + -4y) Reorder the terms: 2(11 + 11y) = -5(-6 + -4y) (11 * 2 + 11y * 2) = -5(-6 + -4y) (22 + 22y) = -5(-6 + -4y) 22 + 22y = (-6 * -5 + -4y * -5) 22 + 22y = (30 + 20y) Solving 22 + 22y = 30 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. 22 + 22y + -20y = 30 + 20y + -20y Combine like terms: 22y + -20y = 2y 22 + 2y = 30 + 20y + -20y Combine like terms: 20y + -20y = 0 22 + 2y = 30 + 0 22 + 2y = 30 Add '-22' to each side of the equation. 22 + -22 + 2y = 30 + -22 Combine like terms: 22 + -22 = 0 0 + 2y = 30 + -22 2y = 30 + -22 Combine like terms: 30 + -22 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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