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Simplifying 7 + 5y + -2 = 8y + 6 + -2y Reorder the terms: 7 + -2 + 5y = 8y + 6 + -2y Combine like terms: 7 + -2 = 5 5 + 5y = 8y + 6 + -2y Reorder the terms: 5 + 5y = 6 + 8y + -2y Combine like terms: 8y + -2y = 6y 5 + 5y = 6 + 6y Solving 5 + 5y = 6 + 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. 5 + 5y + -6y = 6 + 6y + -6y Combine like terms: 5y + -6y = -1y 5 + -1y = 6 + 6y + -6y Combine like terms: 6y + -6y = 0 5 + -1y = 6 + 0 5 + -1y = 6 Add '-5' to each side of the equation. 5 + -5 + -1y = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 6 + -5 -1y = 6 + -5 Combine like terms: 6 + -5 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1
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