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Simplifying 2(4y + -0.25) = 3y + -0.6(2y + -1) Reorder the terms: 2(-0.25 + 4y) = 3y + -0.6(2y + -1) (-0.25 * 2 + 4y * 2) = 3y + -0.6(2y + -1) (-0.5 + 8y) = 3y + -0.6(2y + -1) Reorder the terms: -0.5 + 8y = 3y + -0.6(-1 + 2y) -0.5 + 8y = 3y + (-1 * -0.6 + 2y * -0.6) -0.5 + 8y = 3y + (0.6 + -1.2y) Reorder the terms: -0.5 + 8y = 0.6 + 3y + -1.2y Combine like terms: 3y + -1.2y = 1.8y -0.5 + 8y = 0.6 + 1.8y Solving -0.5 + 8y = 0.6 + 1.8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.8y' to each side of the equation. -0.5 + 8y + -1.8y = 0.6 + 1.8y + -1.8y Combine like terms: 8y + -1.8y = 6.2y -0.5 + 6.2y = 0.6 + 1.8y + -1.8y Combine like terms: 1.8y + -1.8y = 0.0 -0.5 + 6.2y = 0.6 + 0.0 -0.5 + 6.2y = 0.6 Add '0.5' to each side of the equation. -0.5 + 0.5 + 6.2y = 0.6 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 6.2y = 0.6 + 0.5 6.2y = 0.6 + 0.5 Combine like terms: 0.6 + 0.5 = 1.1 6.2y = 1.1 Divide each side by '6.2'. y = 0.1774193548 Simplifying y = 0.1774193548
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