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Simplifying 0.25[4y + -3] = 0.5y + -9 Reorder the terms: 0.25[-3 + 4y] = 0.5y + -9 [-3 * 0.25 + 4y * 0.25] = 0.5y + -9 [-0.75 + 1y] = 0.5y + -9 Reorder the terms: -0.75 + 1y = -9 + 0.5y Solving -0.75 + 1y = -9 + 0.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5y' to each side of the equation. -0.75 + 1y + -0.5y = -9 + 0.5y + -0.5y Combine like terms: 1y + -0.5y = 0.5y -0.75 + 0.5y = -9 + 0.5y + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 -0.75 + 0.5y = -9 + 0.0 -0.75 + 0.5y = -9 Add '0.75' to each side of the equation. -0.75 + 0.75 + 0.5y = -9 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + 0.5y = -9 + 0.75 0.5y = -9 + 0.75 Combine like terms: -9 + 0.75 = -8.25 0.5y = -8.25 Divide each side by '0.5'. y = -16.5 Simplifying y = -16.5
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