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Simplifying 2y + 4 + -8y = 6 + 5y + 9 Reorder the terms: 4 + 2y + -8y = 6 + 5y + 9 Combine like terms: 2y + -8y = -6y 4 + -6y = 6 + 5y + 9 Reorder the terms: 4 + -6y = 6 + 9 + 5y Combine like terms: 6 + 9 = 15 4 + -6y = 15 + 5y Solving 4 + -6y = 15 + 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. 4 + -6y + -5y = 15 + 5y + -5y Combine like terms: -6y + -5y = -11y 4 + -11y = 15 + 5y + -5y Combine like terms: 5y + -5y = 0 4 + -11y = 15 + 0 4 + -11y = 15 Add '-4' to each side of the equation. 4 + -4 + -11y = 15 + -4 Combine like terms: 4 + -4 = 0 0 + -11y = 15 + -4 -11y = 15 + -4 Combine like terms: 15 + -4 = 11 -11y = 11 Divide each side by '-11'. y = -1 Simplifying y = -1
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