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Simplifying 4(2y + 3) = 3(y + 6) Reorder the terms: 4(3 + 2y) = 3(y + 6) (3 * 4 + 2y * 4) = 3(y + 6) (12 + 8y) = 3(y + 6) Reorder the terms: 12 + 8y = 3(6 + y) 12 + 8y = (6 * 3 + y * 3) 12 + 8y = (18 + 3y) Solving 12 + 8y = 18 + 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 + 8y + -3y = 18 + 3y + -3y Combine like terms: 8y + -3y = 5y 12 + 5y = 18 + 3y + -3y Combine like terms: 3y + -3y = 0 12 + 5y = 18 + 0 12 + 5y = 18 Add '-12' to each side of the equation. 12 + -12 + 5y = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 5y = 18 + -12 5y = 18 + -12 Combine like terms: 18 + -12 = 6 5y = 6 Divide each side by '5'. y = 1.2 Simplifying y = 1.2
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