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Simplifying -1.6(2y + 15) = -1.2(2y + 10) Reorder the terms: -1.6(15 + 2y) = -1.2(2y + 10) (15 * -1.6 + 2y * -1.6) = -1.2(2y + 10) (-24 + -3.2y) = -1.2(2y + 10) Reorder the terms: -24 + -3.2y = -1.2(10 + 2y) -24 + -3.2y = (10 * -1.2 + 2y * -1.2) -24 + -3.2y = (-12 + -2.4y) Solving -24 + -3.2y = -12 + -2.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2.4y' to each side of the equation. -24 + -3.2y + 2.4y = -12 + -2.4y + 2.4y Combine like terms: -3.2y + 2.4y = -0.8y -24 + -0.8y = -12 + -2.4y + 2.4y Combine like terms: -2.4y + 2.4y = 0.0 -24 + -0.8y = -12 + 0.0 -24 + -0.8y = -12 Add '24' to each side of the equation. -24 + 24 + -0.8y = -12 + 24 Combine like terms: -24 + 24 = 0 0 + -0.8y = -12 + 24 -0.8y = -12 + 24 Combine like terms: -12 + 24 = 12 -0.8y = 12 Divide each side by '-0.8'. y = -15 Simplifying y = -15
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