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Simplifying 6y + 26 = -5(y + 8) Reorder the terms: 26 + 6y = -5(y + 8) Reorder the terms: 26 + 6y = -5(8 + y) 26 + 6y = (8 * -5 + y * -5) 26 + 6y = (-40 + -5y) Solving 26 + 6y = -40 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 26 + 6y + 5y = -40 + -5y + 5y Combine like terms: 6y + 5y = 11y 26 + 11y = -40 + -5y + 5y Combine like terms: -5y + 5y = 0 26 + 11y = -40 + 0 26 + 11y = -40 Add '-26' to each side of the equation. 26 + -26 + 11y = -40 + -26 Combine like terms: 26 + -26 = 0 0 + 11y = -40 + -26 11y = -40 + -26 Combine like terms: -40 + -26 = -66 11y = -66 Divide each side by '11'. y = -6 Simplifying y = -6
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