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Simplifying 0.06(y + -2) + 0.08 = 0.04y + -0.01(30) Reorder the terms: 0.06(-2 + y) + 0.08 = 0.04y + -0.01(30) (-2 * 0.06 + y * 0.06) + 0.08 = 0.04y + -0.01(30) (-0.12 + 0.06y) + 0.08 = 0.04y + -0.01(30) Reorder the terms: -0.12 + 0.08 + 0.06y = 0.04y + -0.01(30) Combine like terms: -0.12 + 0.08 = -0.04 -0.04 + 0.06y = 0.04y + -0.01(30) Multiply -0.01 * 30 -0.04 + 0.06y = 0.04y + -0.3 Reorder the terms: -0.04 + 0.06y = -0.3 + 0.04y Solving -0.04 + 0.06y = -0.3 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.04 + 0.06y + -0.04y = -0.3 + 0.04y + -0.04y Combine like terms: 0.06y + -0.04y = 0.02y -0.04 + 0.02y = -0.3 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.04 + 0.02y = -0.3 + 0.00 -0.04 + 0.02y = -0.3 Add '0.04' to each side of the equation. -0.04 + 0.04 + 0.02y = -0.3 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 0.02y = -0.3 + 0.04 0.02y = -0.3 + 0.04 Combine like terms: -0.3 + 0.04 = -0.26 0.02y = -0.26 Divide each side by '0.02'. y = -13 Simplifying y = -13
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