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Simplifying 6y + 2y + -1 = 14 + 3y + -12 Reorder the terms: -1 + 6y + 2y = 14 + 3y + -12 Combine like terms: 6y + 2y = 8y -1 + 8y = 14 + 3y + -12 Reorder the terms: -1 + 8y = 14 + -12 + 3y Combine like terms: 14 + -12 = 2 -1 + 8y = 2 + 3y Solving -1 + 8y = 2 + 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. -1 + 8y + -3y = 2 + 3y + -3y Combine like terms: 8y + -3y = 5y -1 + 5y = 2 + 3y + -3y Combine like terms: 3y + -3y = 0 -1 + 5y = 2 + 0 -1 + 5y = 2 Add '1' to each side of the equation. -1 + 1 + 5y = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 5y = 2 + 1 5y = 2 + 1 Combine like terms: 2 + 1 = 3 5y = 3 Divide each side by '5'. y = 0.6 Simplifying y = 0.6
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