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Simplifying 0.12(y + -2) + 0.10y = 0.18y + -0.3 Reorder the terms: 0.12(-2 + y) + 0.10y = 0.18y + -0.3 (-2 * 0.12 + y * 0.12) + 0.10y = 0.18y + -0.3 (-0.24 + 0.12y) + 0.10y = 0.18y + -0.3 Combine like terms: 0.12y + 0.10y = 0.22y -0.24 + 0.22y = 0.18y + -0.3 Reorder the terms: -0.24 + 0.22y = -0.3 + 0.18y Solving -0.24 + 0.22y = -0.3 + 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. -0.24 + 0.22y + -0.18y = -0.3 + 0.18y + -0.18y Combine like terms: 0.22y + -0.18y = 0.04y -0.24 + 0.04y = -0.3 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.24 + 0.04y = -0.3 + 0.00 -0.24 + 0.04y = -0.3 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.04y = -0.3 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.04y = -0.3 + 0.24 0.04y = -0.3 + 0.24 Combine like terms: -0.3 + 0.24 = -0.06 0.04y = -0.06 Divide each side by '0.04'. y = -1.5 Simplifying y = -1.5
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