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Simplifying 0.12(y + -8) + 0.10y = 0.08y + -1.8 Reorder the terms: 0.12(-8 + y) + 0.10y = 0.08y + -1.8 (-8 * 0.12 + y * 0.12) + 0.10y = 0.08y + -1.8 (-0.96 + 0.12y) + 0.10y = 0.08y + -1.8 Combine like terms: 0.12y + 0.10y = 0.22y -0.96 + 0.22y = 0.08y + -1.8 Reorder the terms: -0.96 + 0.22y = -1.8 + 0.08y Solving -0.96 + 0.22y = -1.8 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -0.96 + 0.22y + -0.08y = -1.8 + 0.08y + -0.08y Combine like terms: 0.22y + -0.08y = 0.14y -0.96 + 0.14y = -1.8 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.96 + 0.14y = -1.8 + 0.00 -0.96 + 0.14y = -1.8 Add '0.96' to each side of the equation. -0.96 + 0.96 + 0.14y = -1.8 + 0.96 Combine like terms: -0.96 + 0.96 = 0.00 0.00 + 0.14y = -1.8 + 0.96 0.14y = -1.8 + 0.96 Combine like terms: -1.8 + 0.96 = -0.84 0.14y = -0.84 Divide each side by '0.14'. y = -6 Simplifying y = -6
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