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Simplifying 0.04(y + -2) + 0.02y = 0.18 + -0.5 Reorder the terms: 0.04(-2 + y) + 0.02y = 0.18 + -0.5 (-2 * 0.04 + y * 0.04) + 0.02y = 0.18 + -0.5 (-0.08 + 0.04y) + 0.02y = 0.18 + -0.5 Combine like terms: 0.04y + 0.02y = 0.06y -0.08 + 0.06y = 0.18 + -0.5 Combine like terms: 0.18 + -0.5 = -0.32 -0.08 + 0.06y = -0.32 Solving -0.08 + 0.06y = -0.32 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.06y = -0.32 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.06y = -0.32 + 0.08 0.06y = -0.32 + 0.08 Combine like terms: -0.32 + 0.08 = -0.24 0.06y = -0.24 Divide each side by '0.06'. y = -4 Simplifying y = -4
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