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Simplifying 0.06(y + -7) + 0.41y = 0.07y + -0.30 Reorder the terms: 0.06(-7 + y) + 0.41y = 0.07y + -0.30 (-7 * 0.06 + y * 0.06) + 0.41y = 0.07y + -0.30 (-0.42 + 0.06y) + 0.41y = 0.07y + -0.30 Combine like terms: 0.06y + 0.41y = 0.47y -0.42 + 0.47y = 0.07y + -0.30 Reorder the terms: -0.42 + 0.47y = -0.30 + 0.07y Solving -0.42 + 0.47y = -0.30 + 0.07y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.07y' to each side of the equation. -0.42 + 0.47y + -0.07y = -0.30 + 0.07y + -0.07y Combine like terms: 0.47y + -0.07y = 0.4y -0.42 + 0.4y = -0.30 + 0.07y + -0.07y Combine like terms: 0.07y + -0.07y = 0.00 -0.42 + 0.4y = -0.30 + 0.00 -0.42 + 0.4y = -0.30 Add '0.42' to each side of the equation. -0.42 + 0.42 + 0.4y = -0.30 + 0.42 Combine like terms: -0.42 + 0.42 = 0.00 0.00 + 0.4y = -0.30 + 0.42 0.4y = -0.30 + 0.42 Combine like terms: -0.30 + 0.42 = 0.12 0.4y = 0.12 Divide each side by '0.4'. y = 0.3 Simplifying y = 0.3
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