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Simplifying 0.18(y + -5) + 0.04y = 0.10y + -0.6 Reorder the terms: 0.18(-5 + y) + 0.04y = 0.10y + -0.6 (-5 * 0.18 + y * 0.18) + 0.04y = 0.10y + -0.6 (-0.9 + 0.18y) + 0.04y = 0.10y + -0.6 Combine like terms: 0.18y + 0.04y = 0.22y -0.9 + 0.22y = 0.10y + -0.6 Reorder the terms: -0.9 + 0.22y = -0.6 + 0.10y Solving -0.9 + 0.22y = -0.6 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.9 + 0.22y + -0.10y = -0.6 + 0.10y + -0.10y Combine like terms: 0.22y + -0.10y = 0.12y -0.9 + 0.12y = -0.6 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.9 + 0.12y = -0.6 + 0.00 -0.9 + 0.12y = -0.6 Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.12y = -0.6 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.12y = -0.6 + 0.9 0.12y = -0.6 + 0.9 Combine like terms: -0.6 + 0.9 = 0.3 0.12y = 0.3 Divide each side by '0.12'. y = 2.5 Simplifying y = 2.5
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