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Simplifying 11(2 + -1y) + 2 = -2(y + -3) + -5 (2 * 11 + -1y * 11) + 2 = -2(y + -3) + -5 (22 + -11y) + 2 = -2(y + -3) + -5 Reorder the terms: 22 + 2 + -11y = -2(y + -3) + -5 Combine like terms: 22 + 2 = 24 24 + -11y = -2(y + -3) + -5 Reorder the terms: 24 + -11y = -2(-3 + y) + -5 24 + -11y = (-3 * -2 + y * -2) + -5 24 + -11y = (6 + -2y) + -5 Reorder the terms: 24 + -11y = 6 + -5 + -2y Combine like terms: 6 + -5 = 1 24 + -11y = 1 + -2y Solving 24 + -11y = 1 + -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. 24 + -11y + 2y = 1 + -2y + 2y Combine like terms: -11y + 2y = -9y 24 + -9y = 1 + -2y + 2y Combine like terms: -2y + 2y = 0 24 + -9y = 1 + 0 24 + -9y = 1 Add '-24' to each side of the equation. 24 + -24 + -9y = 1 + -24 Combine like terms: 24 + -24 = 0 0 + -9y = 1 + -24 -9y = 1 + -24 Combine like terms: 1 + -24 = -23 -9y = -23 Divide each side by '-9'. y = 2.555555556 Simplifying y = 2.555555556
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