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Simplifying -1.6(2y + 15) = -1.2(y + -10) Reorder the terms: -1.6(15 + 2y) = -1.2(y + -10) (15 * -1.6 + 2y * -1.6) = -1.2(y + -10) (-24 + -3.2y) = -1.2(y + -10) Reorder the terms: -24 + -3.2y = -1.2(-10 + y) -24 + -3.2y = (-10 * -1.2 + y * -1.2) -24 + -3.2y = (12 + -1.2y) Solving -24 + -3.2y = 12 + -1.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.2y' to each side of the equation. -24 + -3.2y + 1.2y = 12 + -1.2y + 1.2y Combine like terms: -3.2y + 1.2y = -2y -24 + -2y = 12 + -1.2y + 1.2y Combine like terms: -1.2y + 1.2y = 0.0 -24 + -2y = 12 + 0.0 -24 + -2y = 12 Add '24' to each side of the equation. -24 + 24 + -2y = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -2y = 12 + 24 -2y = 12 + 24 Combine like terms: 12 + 24 = 36 -2y = 36 Divide each side by '-2'. y = -18 Simplifying y = -18
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