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Simplifying 0.002(y + -7) + 0.08y = 0.16y + -0.5 Reorder the terms: 0.002(-7 + y) + 0.08y = 0.16y + -0.5 (-7 * 0.002 + y * 0.002) + 0.08y = 0.16y + -0.5 (-0.014 + 0.002y) + 0.08y = 0.16y + -0.5 Combine like terms: 0.002y + 0.08y = 0.082y -0.014 + 0.082y = 0.16y + -0.5 Reorder the terms: -0.014 + 0.082y = -0.5 + 0.16y Solving -0.014 + 0.082y = -0.5 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -0.014 + 0.082y + -0.16y = -0.5 + 0.16y + -0.16y Combine like terms: 0.082y + -0.16y = -0.078y -0.014 + -0.078y = -0.5 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.014 + -0.078y = -0.5 + 0.00 -0.014 + -0.078y = -0.5 Add '0.014' to each side of the equation. -0.014 + 0.014 + -0.078y = -0.5 + 0.014 Combine like terms: -0.014 + 0.014 = 0.000 0.000 + -0.078y = -0.5 + 0.014 -0.078y = -0.5 + 0.014 Combine like terms: -0.5 + 0.014 = -0.486 -0.078y = -0.486 Divide each side by '-0.078'. y = 6.230769231 Simplifying y = 6.230769231
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