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Simplifying 2[4y + 1] = 3y Reorder the terms: 2[1 + 4y] = 3y [1 * 2 + 4y * 2] = 3y [2 + 8y] = 3y Solving 2 + 8y = 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. 2 + 8y + -3y = 3y + -3y Combine like terms: 8y + -3y = 5y 2 + 5y = 3y + -3y Combine like terms: 3y + -3y = 0 2 + 5y = 0 Add '-2' to each side of the equation. 2 + -2 + 5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = 0 + -2 5y = 0 + -2 Combine like terms: 0 + -2 = -2 5y = -2 Divide each side by '5'. y = -0.4 Simplifying y = -0.4
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