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Simplifying -1.6(2y + 15) = -1.2(27 + -10) Reorder the terms: -1.6(15 + 2y) = -1.2(27 + -10) (15 * -1.6 + 2y * -1.6) = -1.2(27 + -10) (-24 + -3.2y) = -1.2(27 + -10) Combine like terms: 27 + -10 = 17 -24 + -3.2y = -1.2(17) Multiply -1.2 * 17 -24 + -3.2y = -20.4 Solving -24 + -3.2y = -20.4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -3.2y = -20.4 + 24 Combine like terms: -24 + 24 = 0 0 + -3.2y = -20.4 + 24 -3.2y = -20.4 + 24 Combine like terms: -20.4 + 24 = 3.6 -3.2y = 3.6 Divide each side by '-3.2'. y = -1.125 Simplifying y = -1.125
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