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Simplifying -4y + 2 = -5y + 7 Reorder the terms: 2 + -4y = -5y + 7 Reorder the terms: 2 + -4y = 7 + -5y Solving 2 + -4y = 7 + -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. 2 + -4y + 5y = 7 + -5y + 5y Combine like terms: -4y + 5y = 1y 2 + 1y = 7 + -5y + 5y Combine like terms: -5y + 5y = 0 2 + 1y = 7 + 0 2 + 1y = 7 Add '-2' to each side of the equation. 2 + -2 + 1y = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 1y = 7 + -2 1y = 7 + -2 Combine like terms: 7 + -2 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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