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Simplifying -5y + 7 = -6y + 1 Reorder the terms: 7 + -5y = -6y + 1 Reorder the terms: 7 + -5y = 1 + -6y Solving 7 + -5y = 1 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 7 + -5y + 6y = 1 + -6y + 6y Combine like terms: -5y + 6y = 1y 7 + 1y = 1 + -6y + 6y Combine like terms: -6y + 6y = 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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