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Simplifying -0.1(y + -16) = 2.4(y + 0.5) Reorder the terms: -0.1(-16 + y) = 2.4(y + 0.5) (-16 * -0.1 + y * -0.1) = 2.4(y + 0.5) (1.6 + -0.1y) = 2.4(y + 0.5) Reorder the terms: 1.6 + -0.1y = 2.4(0.5 + y) 1.6 + -0.1y = (0.5 * 2.4 + y * 2.4) 1.6 + -0.1y = (1.2 + 2.4y) Solving 1.6 + -0.1y = 1.2 + 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. 1.6 + -0.1y + -2.4y = 1.2 + 2.4y + -2.4y Combine like terms: -0.1y + -2.4y = -2.5y 1.6 + -2.5y = 1.2 + 2.4y + -2.4y Combine like terms: 2.4y + -2.4y = 0.0 1.6 + -2.5y = 1.2 + 0.0 1.6 + -2.5y = 1.2 Add '-1.6' to each side of the equation. 1.6 + -1.6 + -2.5y = 1.2 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -2.5y = 1.2 + -1.6 -2.5y = 1.2 + -1.6 Combine like terms: 1.2 + -1.6 = -0.4 -2.5y = -0.4 Divide each side by '-2.5'. y = 0.16 Simplifying y = 0.16
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