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Simplifying 0.16(y + -4) + 0.08y = 0.04y + -0.01(40) Reorder the terms: 0.16(-4 + y) + 0.08y = 0.04y + -0.01(40) (-4 * 0.16 + y * 0.16) + 0.08y = 0.04y + -0.01(40) (-0.64 + 0.16y) + 0.08y = 0.04y + -0.01(40) Combine like terms: 0.16y + 0.08y = 0.24y -0.64 + 0.24y = 0.04y + -0.01(40) Multiply -0.01 * 40 -0.64 + 0.24y = 0.04y + -0.4 Reorder the terms: -0.64 + 0.24y = -0.4 + 0.04y Solving -0.64 + 0.24y = -0.4 + 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 = -0.4 + 0.04y + -0.04y Combine like terms: 0.24y + -0.04y = 0.2y -0.64 + 0.2y = -0.4 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.64 + 0.2y = -0.4 + 0.00 -0.64 + 0.2y = -0.4 Add '0.64' to each side of the equation. -0.64 + 0.64 + 0.2y = -0.4 + 0.64 Combine like terms: -0.64 + 0.64 = 0.00 0.00 + 0.2y = -0.4 + 0.64 0.2y = -0.4 + 0.64 Combine like terms: -0.4 + 0.64 = 0.24 0.2y = 0.24 Divide each side by '0.2'. y = 1.2 Simplifying y = 1.2
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