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Simplifying 6 + 5y + -2 = 8y + 12 + -2y Reorder the terms: 6 + -2 + 5y = 8y + 12 + -2y Combine like terms: 6 + -2 = 4 4 + 5y = 8y + 12 + -2y Reorder the terms: 4 + 5y = 12 + 8y + -2y Combine like terms: 8y + -2y = 6y 4 + 5y = 12 + 6y Solving 4 + 5y = 12 + 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. 4 + 5y + -6y = 12 + 6y + -6y Combine like terms: 5y + -6y = -1y 4 + -1y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 4 + -1y = 12 + 0 4 + -1y = 12 Add '-4' to each side of the equation. 4 + -4 + -1y = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 12 + -4 -1y = 12 + -4 Combine like terms: 12 + -4 = 8 -1y = 8 Divide each side by '-1'. y = -8 Simplifying y = -8
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