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Simplifying 0.10(y + -8) + 0.08y = 0.04y + -1.5 Reorder the terms: 0.10(-8 + y) + 0.08y = 0.04y + -1.5 (-8 * 0.10 + y * 0.10) + 0.08y = 0.04y + -1.5 (-0.8 + 0.10y) + 0.08y = 0.04y + -1.5 Combine like terms: 0.10y + 0.08y = 0.18y -0.8 + 0.18y = 0.04y + -1.5 Reorder the terms: -0.8 + 0.18y = -1.5 + 0.04y Solving -0.8 + 0.18y = -1.5 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.8 + 0.18y + -0.04y = -1.5 + 0.04y + -0.04y Combine like terms: 0.18y + -0.04y = 0.14y -0.8 + 0.14y = -1.5 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.8 + 0.14y = -1.5 + 0.00 -0.8 + 0.14y = -1.5 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.14y = -1.5 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.14y = -1.5 + 0.8 0.14y = -1.5 + 0.8 Combine like terms: -1.5 + 0.8 = -0.7 0.14y = -0.7 Divide each side by '0.14'. y = -5 Simplifying y = -5
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