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Simplifying 2(4y + 1) + -3y = 12 Reorder the terms: 2(1 + 4y) + -3y = 12 (1 * 2 + 4y * 2) + -3y = 12 (2 + 8y) + -3y = 12 Combine like terms: 8y + -3y = 5y 2 + 5y = 12 Solving 2 + 5y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5y = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = 12 + -2 5y = 12 + -2 Combine like terms: 12 + -2 = 10 5y = 10 Divide each side by '5'. y = 2 Simplifying y = 2
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