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Simplifying 0.06(y + -8) + 0.08y = 0.18y + -0.1 Reorder the terms: 0.06(-8 + y) + 0.08y = 0.18y + -0.1 (-8 * 0.06 + y * 0.06) + 0.08y = 0.18y + -0.1 (-0.48 + 0.06y) + 0.08y = 0.18y + -0.1 Combine like terms: 0.06y + 0.08y = 0.14y -0.48 + 0.14y = 0.18y + -0.1 Reorder the terms: -0.48 + 0.14y = -0.1 + 0.18y Solving -0.48 + 0.14y = -0.1 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -0.48 + 0.14y + -0.18y = -0.1 + 0.18y + -0.18y Combine like terms: 0.14y + -0.18y = -0.04y -0.48 + -0.04y = -0.1 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.48 + -0.04y = -0.1 + 0.00 -0.48 + -0.04y = -0.1 Add '0.48' to each side of the equation. -0.48 + 0.48 + -0.04y = -0.1 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + -0.04y = -0.1 + 0.48 -0.04y = -0.1 + 0.48 Combine like terms: -0.1 + 0.48 = 0.38 -0.04y = 0.38 Divide each side by '-0.04'. y = -9.5 Simplifying y = -9.5
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