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Simplifying 0.10(y + -6) + 0.06y = 0.20y + -0.9 Reorder the terms: 0.10(-6 + y) + 0.06y = 0.20y + -0.9 (-6 * 0.10 + y * 0.10) + 0.06y = 0.20y + -0.9 (-0.6 + 0.10y) + 0.06y = 0.20y + -0.9 Combine like terms: 0.10y + 0.06y = 0.16y -0.6 + 0.16y = 0.20y + -0.9 Reorder the terms: -0.6 + 0.16y = -0.9 + 0.20y Solving -0.6 + 0.16y = -0.9 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.6 + 0.16y + -0.20y = -0.9 + 0.20y + -0.20y Combine like terms: 0.16y + -0.20y = -0.04y -0.6 + -0.04y = -0.9 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.6 + -0.04y = -0.9 + 0.00 -0.6 + -0.04y = -0.9 Add '0.6' to each side of the equation. -0.6 + 0.6 + -0.04y = -0.9 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -0.04y = -0.9 + 0.6 -0.04y = -0.9 + 0.6 Combine like terms: -0.9 + 0.6 = -0.3 -0.04y = -0.3 Divide each side by '-0.04'. y = 7.5 Simplifying y = 7.5
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