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Simplifying -3y + 1 = -4y + 7 Reorder the terms: 1 + -3y = -4y + 7 Reorder the terms: 1 + -3y = 7 + -4y Solving 1 + -3y = 7 + -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 + -3y + 4y = 7 + -4y + 4y Combine like terms: -3y + 4y = 1y 1 + 1y = 7 + -4y + 4y Combine like terms: -4y + 4y = 0 1 + 1y = 7 + 0 1 + 1y = 7 Add '-1' to each side of the equation. 1 + -1 + 1y = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 1y = 7 + -1 1y = 7 + -1 Combine like terms: 7 + -1 = 6 1y = 6 Divide each side by '1'. y = 6 Simplifying y = 6
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