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Simplifying 2(2y + 3) = 12 + -8y Reorder the terms: 2(3 + 2y) = 12 + -8y (3 * 2 + 2y * 2) = 12 + -8y (6 + 4y) = 12 + -8y Solving 6 + 4y = 12 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 6 + 4y + 8y = 12 + -8y + 8y Combine like terms: 4y + 8y = 12y 6 + 12y = 12 + -8y + 8y Combine like terms: -8y + 8y = 0 6 + 12y = 12 + 0 6 + 12y = 12 Add '-6' to each side of the equation. 6 + -6 + 12y = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 12y = 12 + -6 12y = 12 + -6 Combine like terms: 12 + -6 = 6 12y = 6 Divide each side by '12'. y = 0.5 Simplifying y = 0.5
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