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Simplifying 0.06(y + -7) + 0.06y = 0.02y + -0.40 Reorder the terms: 0.06(-7 + y) + 0.06y = 0.02y + -0.40 (-7 * 0.06 + y * 0.06) + 0.06y = 0.02y + -0.40 (-0.42 + 0.06y) + 0.06y = 0.02y + -0.40 Combine like terms: 0.06y + 0.06y = 0.12y -0.42 + 0.12y = 0.02y + -0.40 Reorder the terms: -0.42 + 0.12y = -0.40 + 0.02y Solving -0.42 + 0.12y = -0.40 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.42 + 0.12y + -0.02y = -0.40 + 0.02y + -0.02y Combine like terms: 0.12y + -0.02y = 0.1y -0.42 + 0.1y = -0.40 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.42 + 0.1y = -0.40 + 0.00 -0.42 + 0.1y = -0.40 Add '0.42' to each side of the equation. -0.42 + 0.42 + 0.1y = -0.40 + 0.42 Combine like terms: -0.42 + 0.42 = 0.00 0.00 + 0.1y = -0.40 + 0.42 0.1y = -0.40 + 0.42 Combine like terms: -0.40 + 0.42 = 0.02 0.1y = 0.02 Divide each side by '0.1'. y = 0.2 Simplifying y = 0.2
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