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Simplifying 0.08(y + -5) + 0.06y = 0.04y + -0.03(10) Reorder the terms: 0.08(-5 + y) + 0.06y = 0.04y + -0.03(10) (-5 * 0.08 + y * 0.08) + 0.06y = 0.04y + -0.03(10) (-0.4 + 0.08y) + 0.06y = 0.04y + -0.03(10) Combine like terms: 0.08y + 0.06y = 0.14y -0.4 + 0.14y = 0.04y + -0.03(10) Multiply -0.03 * 10 -0.4 + 0.14y = 0.04y + -0.3 Reorder the terms: -0.4 + 0.14y = -0.3 + 0.04y Solving -0.4 + 0.14y = -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. -0.4 + 0.14y + -0.04y = -0.3 + 0.04y + -0.04y Combine like terms: 0.14y + -0.04y = 0.1y -0.4 + 0.1y = -0.3 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.4 + 0.1y = -0.3 + 0.00 -0.4 + 0.1y = -0.3 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.1y = -0.3 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.1y = -0.3 + 0.4 0.1y = -0.3 + 0.4 Combine like terms: -0.3 + 0.4 = 0.1 0.1y = 0.1 Divide each side by '0.1'. y = 1 Simplifying y = 1
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