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Simplifying 0.06(y + -8) + 0.37y = 0.03y + -0.40 Reorder the terms: 0.06(-8 + y) + 0.37y = 0.03y + -0.40 (-8 * 0.06 + y * 0.06) + 0.37y = 0.03y + -0.40 (-0.48 + 0.06y) + 0.37y = 0.03y + -0.40 Combine like terms: 0.06y + 0.37y = 0.43y -0.48 + 0.43y = 0.03y + -0.40 Reorder the terms: -0.48 + 0.43y = -0.40 + 0.03y Solving -0.48 + 0.43y = -0.40 + 0.03y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.03y' to each side of the equation. -0.48 + 0.43y + -0.03y = -0.40 + 0.03y + -0.03y Combine like terms: 0.43y + -0.03y = 0.4y -0.48 + 0.4y = -0.40 + 0.03y + -0.03y Combine like terms: 0.03y + -0.03y = 0.00 -0.48 + 0.4y = -0.40 + 0.00 -0.48 + 0.4y = -0.40 Add '0.48' to each side of the equation. -0.48 + 0.48 + 0.4y = -0.40 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + 0.4y = -0.40 + 0.48 0.4y = -0.40 + 0.48 Combine like terms: -0.40 + 0.48 = 0.08 0.4y = 0.08 Divide each side by '0.4'. y = 0.2 Simplifying y = 0.2
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