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Simplifying 3(y + 4) = 4(3 + -1y) Reorder the terms: 3(4 + y) = 4(3 + -1y) (4 * 3 + y * 3) = 4(3 + -1y) (12 + 3y) = 4(3 + -1y) 12 + 3y = (3 * 4 + -1y * 4) 12 + 3y = (12 + -4y) Add '-12' to each side of the equation. 12 + -12 + 3y = 12 + -12 + -4y Combine like terms: 12 + -12 = 0 0 + 3y = 12 + -12 + -4y 3y = 12 + -12 + -4y Combine like terms: 12 + -12 = 0 3y = 0 + -4y 3y = -4y Solving 3y = -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. 3y + 4y = -4y + 4y Combine like terms: 3y + 4y = 7y 7y = -4y + 4y Combine like terms: -4y + 4y = 0 7y = 0 Divide each side by '7'. y = 0 Simplifying y = 0
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