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Simplifying 4(3 + y) = 3(5 + y) (3 * 4 + y * 4) = 3(5 + y) (12 + 4y) = 3(5 + y) 12 + 4y = (5 * 3 + y * 3) 12 + 4y = (15 + 3y) Solving 12 + 4y = 15 + 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. 12 + 4y + -3y = 15 + 3y + -3y Combine like terms: 4y + -3y = 1y 12 + 1y = 15 + 3y + -3y Combine like terms: 3y + -3y = 0 12 + 1y = 15 + 0 12 + 1y = 15 Add '-12' to each side of the equation. 12 + -12 + 1y = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 1y = 15 + -12 1y = 15 + -12 Combine like terms: 15 + -12 = 3 1y = 3 Divide each side by '1'. y = 3 Simplifying y = 3
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