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Simplifying 3 + 2y + -2 = 8y + 1 + -5y Reorder the terms: 3 + -2 + 2y = 8y + 1 + -5y Combine like terms: 3 + -2 = 1 1 + 2y = 8y + 1 + -5y Reorder the terms: 1 + 2y = 1 + 8y + -5y Combine like terms: 8y + -5y = 3y 1 + 2y = 1 + 3y Add '-1' to each side of the equation. 1 + -1 + 2y = 1 + -1 + 3y Combine like terms: 1 + -1 = 0 0 + 2y = 1 + -1 + 3y 2y = 1 + -1 + 3y Combine like terms: 1 + -1 = 0 2y = 0 + 3y 2y = 3y Solving 2y = 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 2y + -3y = 3y + -3y Combine like terms: 2y + -3y = -1y -1y = 3y + -3y Combine like terms: 3y + -3y = 0 -1y = 0 Divide each side by '-1'. y = 0 Simplifying y = 0
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