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Simplifying -5(6 + -4y) = 11y + 42 (6 * -5 + -4y * -5) = 11y + 42 (-30 + 20y) = 11y + 42 Reorder the terms: -30 + 20y = 42 + 11y Solving -30 + 20y = 42 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. -30 + 20y + -11y = 42 + 11y + -11y Combine like terms: 20y + -11y = 9y -30 + 9y = 42 + 11y + -11y Combine like terms: 11y + -11y = 0 -30 + 9y = 42 + 0 -30 + 9y = 42 Add '30' to each side of the equation. -30 + 30 + 9y = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 9y = 42 + 30 9y = 42 + 30 Combine like terms: 42 + 30 = 72 9y = 72 Divide each side by '9'. y = 8 Simplifying y = 8
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