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