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Simplifying -6(0.5y + -2) = 2(-4y + -1.8) Reorder the terms: -6(-2 + 0.5y) = 2(-4y + -1.8) (-2 * -6 + 0.5y * -6) = 2(-4y + -1.8) (12 + -3y) = 2(-4y + -1.8) Reorder the terms: 12 + -3y = 2(-1.8 + -4y) 12 + -3y = (-1.8 * 2 + -4y * 2) 12 + -3y = (-3.6 + -8y) Solving 12 + -3y = -3.6 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 12 + -3y + 8y = -3.6 + -8y + 8y Combine like terms: -3y + 8y = 5y 12 + 5y = -3.6 + -8y + 8y Combine like terms: -8y + 8y = 0 12 + 5y = -3.6 + 0 12 + 5y = -3.6 Add '-12' to each side of the equation. 12 + -12 + 5y = -3.6 + -12 Combine like terms: 12 + -12 = 0 0 + 5y = -3.6 + -12 5y = -3.6 + -12 Combine like terms: -3.6 + -12 = -15.6 5y = -15.6 Divide each side by '5'. y = -3.12 Simplifying y = -3.12
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