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Simplifying -2.4(y + -1) = 0.8(y + 15) Reorder the terms: -2.4(-1 + y) = 0.8(y + 15) (-1 * -2.4 + y * -2.4) = 0.8(y + 15) (2.4 + -2.4y) = 0.8(y + 15) Reorder the terms: 2.4 + -2.4y = 0.8(15 + y) 2.4 + -2.4y = (15 * 0.8 + y * 0.8) 2.4 + -2.4y = (12 + 0.8y) Solving 2.4 + -2.4y = 12 + 0.8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.8y' to each side of the equation. 2.4 + -2.4y + -0.8y = 12 + 0.8y + -0.8y Combine like terms: -2.4y + -0.8y = -3.2y 2.4 + -3.2y = 12 + 0.8y + -0.8y Combine like terms: 0.8y + -0.8y = 0.0 2.4 + -3.2y = 12 + 0.0 2.4 + -3.2y = 12 Add '-2.4' to each side of the equation. 2.4 + -2.4 + -3.2y = 12 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -3.2y = 12 + -2.4 -3.2y = 12 + -2.4 Combine like terms: 12 + -2.4 = 9.6 -3.2y = 9.6 Divide each side by '-3.2'. y = -3 Simplifying y = -3
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