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Simplifying 8y + 46 = -6(y + 4) Reorder the terms: 46 + 8y = -6(y + 4) Reorder the terms: 46 + 8y = -6(4 + y) 46 + 8y = (4 * -6 + y * -6) 46 + 8y = (-24 + -6y) Solving 46 + 8y = -24 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 46 + 8y + 6y = -24 + -6y + 6y Combine like terms: 8y + 6y = 14y 46 + 14y = -24 + -6y + 6y Combine like terms: -6y + 6y = 0 46 + 14y = -24 + 0 46 + 14y = -24 Add '-46' to each side of the equation. 46 + -46 + 14y = -24 + -46 Combine like terms: 46 + -46 = 0 0 + 14y = -24 + -46 14y = -24 + -46 Combine like terms: -24 + -46 = -70 14y = -70 Divide each side by '14'. y = -5 Simplifying y = -5
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