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Simplifying 2y + 6 = -3y + 1 Reorder the terms: 6 + 2y = -3y + 1 Reorder the terms: 6 + 2y = 1 + -3y Solving 6 + 2y = 1 + -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. 6 + 2y + 3y = 1 + -3y + 3y Combine like terms: 2y + 3y = 5y 6 + 5y = 1 + -3y + 3y Combine like terms: -3y + 3y = 0 6 + 5y = 1 + 0 6 + 5y = 1 Add '-6' to each side of the equation. 6 + -6 + 5y = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 5y = 1 + -6 5y = 1 + -6 Combine like terms: 1 + -6 = -5 5y = -5 Divide each side by '5'. y = -1 Simplifying y = -1
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