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Simplifying 0.16(y + -4) + 0.18y = 0.06y + -0.5 Reorder the terms: 0.16(-4 + y) + 0.18y = 0.06y + -0.5 (-4 * 0.16 + y * 0.16) + 0.18y = 0.06y + -0.5 (-0.64 + 0.16y) + 0.18y = 0.06y + -0.5 Combine like terms: 0.16y + 0.18y = 0.34y -0.64 + 0.34y = 0.06y + -0.5 Reorder the terms: -0.64 + 0.34y = -0.5 + 0.06y Solving -0.64 + 0.34y = -0.5 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.64 + 0.34y + -0.06y = -0.5 + 0.06y + -0.06y Combine like terms: 0.34y + -0.06y = 0.28y -0.64 + 0.28y = -0.5 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.64 + 0.28y = -0.5 + 0.00 -0.64 + 0.28y = -0.5 Add '0.64' to each side of the equation. -0.64 + 0.64 + 0.28y = -0.5 + 0.64 Combine like terms: -0.64 + 0.64 = 0.00 0.00 + 0.28y = -0.5 + 0.64 0.28y = -0.5 + 0.64 Combine like terms: -0.5 + 0.64 = 0.14 0.28y = 0.14 Divide each side by '0.28'. y = 0.5 Simplifying y = 0.5
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