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