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Simplifying 0.18(y + -5) + 0.08 = 0.06y + -0.5 Reorder the terms: 0.18(-5 + y) + 0.08 = 0.06y + -0.5 (-5 * 0.18 + y * 0.18) + 0.08 = 0.06y + -0.5 (-0.9 + 0.18y) + 0.08 = 0.06y + -0.5 Reorder the terms: -0.9 + 0.08 + 0.18y = 0.06y + -0.5 Combine like terms: -0.9 + 0.08 = -0.82 -0.82 + 0.18y = 0.06y + -0.5 Reorder the terms: -0.82 + 0.18y = -0.5 + 0.06y Solving -0.82 + 0.18y = -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. -0.82 + 0.18y + -0.06y = -0.5 + 0.06y + -0.06y Combine like terms: 0.18y + -0.06y = 0.12y -0.82 + 0.12y = -0.5 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.82 + 0.12y = -0.5 + 0.00 -0.82 + 0.12y = -0.5 Add '0.82' to each side of the equation. -0.82 + 0.82 + 0.12y = -0.5 + 0.82 Combine like terms: -0.82 + 0.82 = 0.00 0.00 + 0.12y = -0.5 + 0.82 0.12y = -0.5 + 0.82 Combine like terms: -0.5 + 0.82 = 0.32 0.12y = 0.32 Divide each side by '0.12'. y = 2.666666667 Simplifying y = 2.666666667
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