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Simplifying -3y + 8 = -4y + 1 Reorder the terms: 8 + -3y = -4y + 1 Reorder the terms: 8 + -3y = 1 + -4y Solving 8 + -3y = 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. 8 + -3y + 4y = 1 + -4y + 4y Combine like terms: -3y + 4y = 1y 8 + 1y = 1 + -4y + 4y Combine like terms: -4y + 4y = 0 8 + 1y = 1 + 0 8 + 1y = 1 Add '-8' to each side of the equation. 8 + -8 + 1y = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 1y = 1 + -8 1y = 1 + -8 Combine like terms: 1 + -8 = -7 1y = -7 Divide each side by '1'. y = -7 Simplifying y = -7
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