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Simplifying -3y + 7 = 4y + 9 Reorder the terms: 7 + -3y = 4y + 9 Reorder the terms: 7 + -3y = 9 + 4y Solving 7 + -3y = 9 + 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. 7 + -3y + -4y = 9 + 4y + -4y Combine like terms: -3y + -4y = -7y 7 + -7y = 9 + 4y + -4y Combine like terms: 4y + -4y = 0 7 + -7y = 9 + 0 7 + -7y = 9 Add '-7' to each side of the equation. 7 + -7 + -7y = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -7y = 9 + -7 -7y = 9 + -7 Combine like terms: 9 + -7 = 2 -7y = 2 Divide each side by '-7'. y = -0.2857142857 Simplifying y = -0.2857142857
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