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Simplifying 6y + 4 + -3y = -5 + y + 17 Reorder the terms: 4 + 6y + -3y = -5 + y + 17 Combine like terms: 6y + -3y = 3y 4 + 3y = -5 + y + 17 Reorder the terms: 4 + 3y = -5 + 17 + y Combine like terms: -5 + 17 = 12 4 + 3y = 12 + y Solving 4 + 3y = 12 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 4 + 3y + -1y = 12 + y + -1y Combine like terms: 3y + -1y = 2y 4 + 2y = 12 + y + -1y Combine like terms: y + -1y = 0 4 + 2y = 12 + 0 4 + 2y = 12 Add '-4' to each side of the equation. 4 + -4 + 2y = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 2y = 12 + -4 2y = 12 + -4 Combine like terms: 12 + -4 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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