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Simplifying 7(y + 6) = -4y + -46 Reorder the terms: 7(6 + y) = -4y + -46 (6 * 7 + y * 7) = -4y + -46 (42 + 7y) = -4y + -46 Reorder the terms: 42 + 7y = -46 + -4y Solving 42 + 7y = -46 + -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 = -46 + -4y + 4y Combine like terms: 7y + 4y = 11y 42 + 11y = -46 + -4y + 4y Combine like terms: -4y + 4y = 0 42 + 11y = -46 + 0 42 + 11y = -46 Add '-42' to each side of the equation. 42 + -42 + 11y = -46 + -42 Combine like terms: 42 + -42 = 0 0 + 11y = -46 + -42 11y = -46 + -42 Combine like terms: -46 + -42 = -88 11y = -88 Divide each side by '11'. y = -8 Simplifying y = -8
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