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Simplifying 0.10(y + -6) + 0.04 = 0.06y + -0.07(20) Reorder the terms: 0.10(-6 + y) + 0.04 = 0.06y + -0.07(20) (-6 * 0.10 + y * 0.10) + 0.04 = 0.06y + -0.07(20) (-0.6 + 0.10y) + 0.04 = 0.06y + -0.07(20) Reorder the terms: -0.6 + 0.04 + 0.10y = 0.06y + -0.07(20) Combine like terms: -0.6 + 0.04 = -0.56 -0.56 + 0.10y = 0.06y + -0.07(20) Multiply -0.07 * 20 -0.56 + 0.10y = 0.06y + -1.4 Reorder the terms: -0.56 + 0.10y = -1.4 + 0.06y Solving -0.56 + 0.10y = -1.4 + 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. -0.56 + 0.10y + -0.06y = -1.4 + 0.06y + -0.06y Combine like terms: 0.10y + -0.06y = 0.04y -0.56 + 0.04y = -1.4 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.56 + 0.04y = -1.4 + 0.00 -0.56 + 0.04y = -1.4 Add '0.56' to each side of the equation. -0.56 + 0.56 + 0.04y = -1.4 + 0.56 Combine like terms: -0.56 + 0.56 = 0.00 0.00 + 0.04y = -1.4 + 0.56 0.04y = -1.4 + 0.56 Combine like terms: -1.4 + 0.56 = -0.84 0.04y = -0.84 Divide each side by '0.04'. y = -21 Simplifying y = -21
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