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Simplifying -1.6(2y + 15) = -12(2y + -10) Reorder the terms: -1.6(15 + 2y) = -12(2y + -10) (15 * -1.6 + 2y * -1.6) = -12(2y + -10) (-24 + -3.2y) = -12(2y + -10) Reorder the terms: -24 + -3.2y = -12(-10 + 2y) -24 + -3.2y = (-10 * -12 + 2y * -12) -24 + -3.2y = (120 + -24y) Solving -24 + -3.2y = 120 + -24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24y' to each side of the equation. -24 + -3.2y + 24y = 120 + -24y + 24y Combine like terms: -3.2y + 24y = 20.8y -24 + 20.8y = 120 + -24y + 24y Combine like terms: -24y + 24y = 0 -24 + 20.8y = 120 + 0 -24 + 20.8y = 120 Add '24' to each side of the equation. -24 + 24 + 20.8y = 120 + 24 Combine like terms: -24 + 24 = 0 0 + 20.8y = 120 + 24 20.8y = 120 + 24 Combine like terms: 120 + 24 = 144 20.8y = 144 Divide each side by '20.8'. y = 6.923076923 Simplifying y = 6.923076923
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