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Simplifying 0.16(y + -3) + 0.08y = 0.14y + -0.01(50) Reorder the terms: 0.16(-3 + y) + 0.08y = 0.14y + -0.01(50) (-3 * 0.16 + y * 0.16) + 0.08y = 0.14y + -0.01(50) (-0.48 + 0.16y) + 0.08y = 0.14y + -0.01(50) Combine like terms: 0.16y + 0.08y = 0.24y -0.48 + 0.24y = 0.14y + -0.01(50) Multiply -0.01 * 50 -0.48 + 0.24y = 0.14y + -0.5 Reorder the terms: -0.48 + 0.24y = -0.5 + 0.14y Solving -0.48 + 0.24y = -0.5 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.48 + 0.24y + -0.14y = -0.5 + 0.14y + -0.14y Combine like terms: 0.24y + -0.14y = 0.1y -0.48 + 0.1y = -0.5 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.48 + 0.1y = -0.5 + 0.00 -0.48 + 0.1y = -0.5 Add '0.48' to each side of the equation. -0.48 + 0.48 + 0.1y = -0.5 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + 0.1y = -0.5 + 0.48 0.1y = -0.5 + 0.48 Combine like terms: -0.5 + 0.48 = -0.02 0.1y = -0.02 Divide each side by '0.1'. y = -0.2 Simplifying y = -0.2
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