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Simplifying 4(6 + y) = 3(4 + y) (6 * 4 + y * 4) = 3(4 + y) (24 + 4y) = 3(4 + y) 24 + 4y = (4 * 3 + y * 3) 24 + 4y = (12 + 3y) Solving 24 + 4y = 12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 24 + 4y + -3y = 12 + 3y + -3y Combine like terms: 4y + -3y = 1y 24 + 1y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 24 + 1y = 12 + 0 24 + 1y = 12 Add '-24' to each side of the equation. 24 + -24 + 1y = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 1y = 12 + -24 1y = 12 + -24 Combine like terms: 12 + -24 = -12 1y = -12 Divide each side by '1'. y = -12 Simplifying y = -12
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