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Simplifying 5y + 6y + -2y + 12 + -3 = 17 + -5 + 6y + -2y + -1y Reorder the terms: 12 + -3 + 5y + 6y + -2y = 17 + -5 + 6y + -2y + -1y Combine like terms: 12 + -3 = 9 9 + 5y + 6y + -2y = 17 + -5 + 6y + -2y + -1y Combine like terms: 5y + 6y = 11y 9 + 11y + -2y = 17 + -5 + 6y + -2y + -1y Combine like terms: 11y + -2y = 9y 9 + 9y = 17 + -5 + 6y + -2y + -1y Combine like terms: 17 + -5 = 12 9 + 9y = 12 + 6y + -2y + -1y Combine like terms: 6y + -2y = 4y 9 + 9y = 12 + 4y + -1y Combine like terms: 4y + -1y = 3y 9 + 9y = 12 + 3y Solving 9 + 9y = 12 + 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. 9 + 9y + -3y = 12 + 3y + -3y Combine like terms: 9y + -3y = 6y 9 + 6y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 9 + 6y = 12 + 0 9 + 6y = 12 Add '-9' to each side of the equation. 9 + -9 + 6y = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 6y = 12 + -9 6y = 12 + -9 Combine like terms: 12 + -9 = 3 6y = 3 Divide each side by '6'. y = 0.5 Simplifying y = 0.5
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