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Simplifying 0.04(y + -8) + 0.06y = 0.14y + -0.01(10) Reorder the terms: 0.04(-8 + y) + 0.06y = 0.14y + -0.01(10) (-8 * 0.04 + y * 0.04) + 0.06y = 0.14y + -0.01(10) (-0.32 + 0.04y) + 0.06y = 0.14y + -0.01(10) Combine like terms: 0.04y + 0.06y = 0.1y -0.32 + 0.1y = 0.14y + -0.01(10) Multiply -0.01 * 10 -0.32 + 0.1y = 0.14y + -0.1 Reorder the terms: -0.32 + 0.1y = -0.1 + 0.14y Solving -0.32 + 0.1y = -0.1 + 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. -0.32 + 0.1y + -0.14y = -0.1 + 0.14y + -0.14y Combine like terms: 0.1y + -0.14y = -0.04y -0.32 + -0.04y = -0.1 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.32 + -0.04y = -0.1 + 0.00 -0.32 + -0.04y = -0.1 Add '0.32' to each side of the equation. -0.32 + 0.32 + -0.04y = -0.1 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + -0.04y = -0.1 + 0.32 -0.04y = -0.1 + 0.32 Combine like terms: -0.1 + 0.32 = 0.22 -0.04y = 0.22 Divide each side by '-0.04'. y = -5.5 Simplifying y = -5.5
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