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Simplifying 8y + 40 = -6(y + 5) Reorder the terms: 40 + 8y = -6(y + 5) Reorder the terms: 40 + 8y = -6(5 + y) 40 + 8y = (5 * -6 + y * -6) 40 + 8y = (-30 + -6y) Solving 40 + 8y = -30 + -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. 40 + 8y + 6y = -30 + -6y + 6y Combine like terms: 8y + 6y = 14y 40 + 14y = -30 + -6y + 6y Combine like terms: -6y + 6y = 0 40 + 14y = -30 + 0 40 + 14y = -30 Add '-40' to each side of the equation. 40 + -40 + 14y = -30 + -40 Combine like terms: 40 + -40 = 0 0 + 14y = -30 + -40 14y = -30 + -40 Combine like terms: -30 + -40 = -70 14y = -70 Divide each side by '14'. y = -5 Simplifying y = -5
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