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Simplifying -4y + 7 = -5y + 1 Reorder the terms: 7 + -4y = -5y + 1 Reorder the terms: 7 + -4y = 1 + -5y Solving 7 + -4y = 1 + -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. 7 + -4y + 5y = 1 + -5y + 5y Combine like terms: -4y + 5y = 1y 7 + 1y = 1 + -5y + 5y Combine like terms: -5y + 5y = 0 7 + 1y = 1 + 0 7 + 1y = 1 Add '-7' to each side of the equation. 7 + -7 + 1y = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 1y = 1 + -7 1y = 1 + -7 Combine like terms: 1 + -7 = -6 1y = -6 Divide each side by '1'. y = -6 Simplifying y = -6
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