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Simplifying 0.06(y + -7) + 0.12y = 0.08y + -0.07(10) Reorder the terms: 0.06(-7 + y) + 0.12y = 0.08y + -0.07(10) (-7 * 0.06 + y * 0.06) + 0.12y = 0.08y + -0.07(10) (-0.42 + 0.06y) + 0.12y = 0.08y + -0.07(10) Combine like terms: 0.06y + 0.12y = 0.18y -0.42 + 0.18y = 0.08y + -0.07(10) Multiply -0.07 * 10 -0.42 + 0.18y = 0.08y + -0.7 Reorder the terms: -0.42 + 0.18y = -0.7 + 0.08y Solving -0.42 + 0.18y = -0.7 + 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 = -0.7 + 0.08y + -0.08y Combine like terms: 0.18y + -0.08y = 0.1y -0.42 + 0.1y = -0.7 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.42 + 0.1y = -0.7 + 0.00 -0.42 + 0.1y = -0.7 Add '0.42' to each side of the equation. -0.42 + 0.42 + 0.1y = -0.7 + 0.42 Combine like terms: -0.42 + 0.42 = 0.00 0.00 + 0.1y = -0.7 + 0.42 0.1y = -0.7 + 0.42 Combine like terms: -0.7 + 0.42 = -0.28 0.1y = -0.28 Divide each side by '0.1'. y = -2.8 Simplifying y = -2.8
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