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Simplifying 0.06(y + -7) + 0.02y = 0.04y + -0.6 Reorder the terms: 0.06(-7 + y) + 0.02y = 0.04y + -0.6 (-7 * 0.06 + y * 0.06) + 0.02y = 0.04y + -0.6 (-0.42 + 0.06y) + 0.02y = 0.04y + -0.6 Combine like terms: 0.06y + 0.02y = 0.08y -0.42 + 0.08y = 0.04y + -0.6 Reorder the terms: -0.42 + 0.08y = -0.6 + 0.04y Solving -0.42 + 0.08y = -0.6 + 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. -0.42 + 0.08y + -0.04y = -0.6 + 0.04y + -0.04y Combine like terms: 0.08y + -0.04y = 0.04y -0.42 + 0.04y = -0.6 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.42 + 0.04y = -0.6 + 0.00 -0.42 + 0.04y = -0.6 Add '0.42' to each side of the equation. -0.42 + 0.42 + 0.04y = -0.6 + 0.42 Combine like terms: -0.42 + 0.42 = 0.00 0.00 + 0.04y = -0.6 + 0.42 0.04y = -0.6 + 0.42 Combine like terms: -0.6 + 0.42 = -0.18 0.04y = -0.18 Divide each side by '0.04'. y = -4.5 Simplifying y = -4.5
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