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Simplifying 0.12(y + -8) + 0.10y = 0.02y + -0.09 Reorder the terms: 0.12(-8 + y) + 0.10y = 0.02y + -0.09 (-8 * 0.12 + y * 0.12) + 0.10y = 0.02y + -0.09 (-0.96 + 0.12y) + 0.10y = 0.02y + -0.09 Combine like terms: 0.12y + 0.10y = 0.22y -0.96 + 0.22y = 0.02y + -0.09 Reorder the terms: -0.96 + 0.22y = -0.09 + 0.02y Solving -0.96 + 0.22y = -0.09 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.96 + 0.22y + -0.02y = -0.09 + 0.02y + -0.02y Combine like terms: 0.22y + -0.02y = 0.2y -0.96 + 0.2y = -0.09 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.96 + 0.2y = -0.09 + 0.00 -0.96 + 0.2y = -0.09 Add '0.96' to each side of the equation. -0.96 + 0.96 + 0.2y = -0.09 + 0.96 Combine like terms: -0.96 + 0.96 = 0.00 0.00 + 0.2y = -0.09 + 0.96 0.2y = -0.09 + 0.96 Combine like terms: -0.09 + 0.96 = 0.87 0.2y = 0.87 Divide each side by '0.2'. y = 4.35 Simplifying y = 4.35
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