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Simplifying -7(y + 6) = 4y + -24 Reorder the terms: -7(6 + y) = 4y + -24 (6 * -7 + y * -7) = 4y + -24 (-42 + -7y) = 4y + -24 Reorder the terms: -42 + -7y = -24 + 4y Solving -42 + -7y = -24 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -42 + -7y + -4y = -24 + 4y + -4y Combine like terms: -7y + -4y = -11y -42 + -11y = -24 + 4y + -4y Combine like terms: 4y + -4y = 0 -42 + -11y = -24 + 0 -42 + -11y = -24 Add '42' to each side of the equation. -42 + 42 + -11y = -24 + 42 Combine like terms: -42 + 42 = 0 0 + -11y = -24 + 42 -11y = -24 + 42 Combine like terms: -24 + 42 = 18 -11y = 18 Divide each side by '-11'. y = -1.636363636 Simplifying y = -1.636363636
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