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Simplifying 0.4(3y + -8) = -1(6 + -4y) Reorder the terms: 0.4(-8 + 3y) = -1(6 + -4y) (-8 * 0.4 + 3y * 0.4) = -1(6 + -4y) (-3.2 + 1.2y) = -1(6 + -4y) -3.2 + 1.2y = (6 * -1 + -4y * -1) -3.2 + 1.2y = (-6 + 4y) Solving -3.2 + 1.2y = -6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -3.2 + 1.2y + -4y = -6 + 4y + -4y Combine like terms: 1.2y + -4y = -2.8y -3.2 + -2.8y = -6 + 4y + -4y Combine like terms: 4y + -4y = 0 -3.2 + -2.8y = -6 + 0 -3.2 + -2.8y = -6 Add '3.2' to each side of the equation. -3.2 + 3.2 + -2.8y = -6 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + -2.8y = -6 + 3.2 -2.8y = -6 + 3.2 Combine like terms: -6 + 3.2 = -2.8 -2.8y = -2.8 Divide each side by '-2.8'. y = 1 Simplifying y = 1
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