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Simplifying -3y + 9 = -4y + 7 Reorder the terms: 9 + -3y = -4y + 7 Reorder the terms: 9 + -3y = 7 + -4y Solving 9 + -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. 9 + -3y + 4y = 7 + -4y + 4y Combine like terms: -3y + 4y = 1y 9 + 1y = 7 + -4y + 4y Combine like terms: -4y + 4y = 0 9 + 1y = 7 + 0 9 + 1y = 7 Add '-9' to each side of the equation. 9 + -9 + 1y = 7 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = 7 + -9 1y = 7 + -9 Combine like terms: 7 + -9 = -2 1y = -2 Divide each side by '1'. y = -2 Simplifying y = -2
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