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Simplifying 0.06(y + -7) + 0.12y = 0.08y + -0.01(40) Reorder the terms: 0.06(-7 + y) + 0.12y = 0.08y + -0.01(40) (-7 * 0.06 + y * 0.06) + 0.12y = 0.08y + -0.01(40) (-0.42 + 0.06y) + 0.12y = 0.08y + -0.01(40) Combine like terms: 0.06y + 0.12y = 0.18y -0.42 + 0.18y = 0.08y + -0.01(40) Multiply -0.01 * 40 -0.42 + 0.18y = 0.08y + -0.4 Reorder the terms: -0.42 + 0.18y = -0.4 + 0.08y Solving -0.42 + 0.18y = -0.4 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -0.42 + 0.18y + -0.08y = -0.4 + 0.08y + -0.08y Combine like terms: 0.18y + -0.08y = 0.1y -0.42 + 0.1y = -0.4 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.42 + 0.1y = -0.4 + 0.00 -0.42 + 0.1y = -0.4 Add '0.42' to each side of the equation. -0.42 + 0.42 + 0.1y = -0.4 + 0.42 Combine like terms: -0.42 + 0.42 = 0.00 0.00 + 0.1y = -0.4 + 0.42 0.1y = -0.4 + 0.42 Combine like terms: -0.4 + 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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