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Simplifying 6 + 2y + -5 = 8y + 11 + -4y Reorder the terms: 6 + -5 + 2y = 8y + 11 + -4y Combine like terms: 6 + -5 = 1 1 + 2y = 8y + 11 + -4y Reorder the terms: 1 + 2y = 11 + 8y + -4y Combine like terms: 8y + -4y = 4y 1 + 2y = 11 + 4y Solving 1 + 2y = 11 + 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. 1 + 2y + -4y = 11 + 4y + -4y Combine like terms: 2y + -4y = -2y 1 + -2y = 11 + 4y + -4y Combine like terms: 4y + -4y = 0 1 + -2y = 11 + 0 1 + -2y = 11 Add '-1' to each side of the equation. 1 + -1 + -2y = 11 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 11 + -1 -2y = 11 + -1 Combine like terms: 11 + -1 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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