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Simplifying 0.04(y + -7) + 0.10y = 0.06y + -0.09(10) Reorder the terms: 0.04(-7 + y) + 0.10y = 0.06y + -0.09(10) (-7 * 0.04 + y * 0.04) + 0.10y = 0.06y + -0.09(10) (-0.28 + 0.04y) + 0.10y = 0.06y + -0.09(10) Combine like terms: 0.04y + 0.10y = 0.14y -0.28 + 0.14y = 0.06y + -0.09(10) Multiply -0.09 * 10 -0.28 + 0.14y = 0.06y + -0.9 Reorder the terms: -0.28 + 0.14y = -0.9 + 0.06y Solving -0.28 + 0.14y = -0.9 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.28 + 0.14y + -0.06y = -0.9 + 0.06y + -0.06y Combine like terms: 0.14y + -0.06y = 0.08y -0.28 + 0.08y = -0.9 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.28 + 0.08y = -0.9 + 0.00 -0.28 + 0.08y = -0.9 Add '0.28' to each side of the equation. -0.28 + 0.28 + 0.08y = -0.9 + 0.28 Combine like terms: -0.28 + 0.28 = 0.00 0.00 + 0.08y = -0.9 + 0.28 0.08y = -0.9 + 0.28 Combine like terms: -0.9 + 0.28 = -0.62 0.08y = -0.62 Divide each side by '0.08'. y = -7.75 Simplifying y = -7.75
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