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