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Simplifying -3y + 1 = 4y + 9 Reorder the terms: 1 + -3y = 4y + 9 Reorder the terms: 1 + -3y = 9 + 4y Solving 1 + -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. 1 + -3y + -4y = 9 + 4y + -4y Combine like terms: -3y + -4y = -7y 1 + -7y = 9 + 4y + -4y Combine like terms: 4y + -4y = 0 1 + -7y = 9 + 0 1 + -7y = 9 Add '-1' to each side of the equation. 1 + -1 + -7y = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -7y = 9 + -1 -7y = 9 + -1 Combine like terms: 9 + -1 = 8 -7y = 8 Divide each side by '-7'. y = -1.142857143 Simplifying y = -1.142857143
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