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Simplifying 4(2y + 3) = 6y Reorder the terms: 4(3 + 2y) = 6y (3 * 4 + 2y * 4) = 6y (12 + 8y) = 6y Solving 12 + 8y = 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 12 + 8y + -6y = 6y + -6y Combine like terms: 8y + -6y = 2y 12 + 2y = 6y + -6y Combine like terms: 6y + -6y = 0 12 + 2y = 0 Add '-12' to each side of the equation. 12 + -12 + 2y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2y = 0 + -12 2y = 0 + -12 Combine like terms: 0 + -12 = -12 2y = -12 Divide each side by '2'. y = -6 Simplifying y = -6
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