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Simplifying 0.08(y + -8) + 0.16y = 0.04y + -0.01(30) Reorder the terms: 0.08(-8 + y) + 0.16y = 0.04y + -0.01(30) (-8 * 0.08 + y * 0.08) + 0.16y = 0.04y + -0.01(30) (-0.64 + 0.08y) + 0.16y = 0.04y + -0.01(30) Combine like terms: 0.08y + 0.16y = 0.24y -0.64 + 0.24y = 0.04y + -0.01(30) Multiply -0.01 * 30 -0.64 + 0.24y = 0.04y + -0.3 Reorder the terms: -0.64 + 0.24y = -0.3 + 0.04y Solving -0.64 + 0.24y = -0.3 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.64 + 0.24y + -0.04y = -0.3 + 0.04y + -0.04y Combine like terms: 0.24y + -0.04y = 0.2y -0.64 + 0.2y = -0.3 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.64 + 0.2y = -0.3 + 0.00 -0.64 + 0.2y = -0.3 Add '0.64' to each side of the equation. -0.64 + 0.64 + 0.2y = -0.3 + 0.64 Combine like terms: -0.64 + 0.64 = 0.00 0.00 + 0.2y = -0.3 + 0.64 0.2y = -0.3 + 0.64 Combine like terms: -0.3 + 0.64 = 0.34 0.2y = 0.34 Divide each side by '0.2'. y = 1.7 Simplifying y = 1.7
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