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Simplifying 0.10(y + -7) + 0.04y = 0.06y + -0.5 Reorder the terms: 0.10(-7 + y) + 0.04y = 0.06y + -0.5 (-7 * 0.10 + y * 0.10) + 0.04y = 0.06y + -0.5 (-0.7 + 0.10y) + 0.04y = 0.06y + -0.5 Combine like terms: 0.10y + 0.04y = 0.14y -0.7 + 0.14y = 0.06y + -0.5 Reorder the terms: -0.7 + 0.14y = -0.5 + 0.06y Solving -0.7 + 0.14y = -0.5 + 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. -0.7 + 0.14y + -0.06y = -0.5 + 0.06y + -0.06y Combine like terms: 0.14y + -0.06y = 0.08y -0.7 + 0.08y = -0.5 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.7 + 0.08y = -0.5 + 0.00 -0.7 + 0.08y = -0.5 Add '0.7' to each side of the equation. -0.7 + 0.7 + 0.08y = -0.5 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 0.08y = -0.5 + 0.7 0.08y = -0.5 + 0.7 Combine like terms: -0.5 + 0.7 = 0.2 0.08y = 0.2 Divide each side by '0.08'. y = 2.5 Simplifying y = 2.5
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