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Simplifying 0.18(y + -8) + 0.04y = 0.10y + -0.3 Reorder the terms: 0.18(-8 + y) + 0.04y = 0.10y + -0.3 (-8 * 0.18 + y * 0.18) + 0.04y = 0.10y + -0.3 (-1.44 + 0.18y) + 0.04y = 0.10y + -0.3 Combine like terms: 0.18y + 0.04y = 0.22y -1.44 + 0.22y = 0.10y + -0.3 Reorder the terms: -1.44 + 0.22y = -0.3 + 0.10y Solving -1.44 + 0.22y = -0.3 + 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. -1.44 + 0.22y + -0.10y = -0.3 + 0.10y + -0.10y Combine like terms: 0.22y + -0.10y = 0.12y -1.44 + 0.12y = -0.3 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -1.44 + 0.12y = -0.3 + 0.00 -1.44 + 0.12y = -0.3 Add '1.44' to each side of the equation. -1.44 + 1.44 + 0.12y = -0.3 + 1.44 Combine like terms: -1.44 + 1.44 = 0.00 0.00 + 0.12y = -0.3 + 1.44 0.12y = -0.3 + 1.44 Combine like terms: -0.3 + 1.44 = 1.14 0.12y = 1.14 Divide each side by '0.12'. y = 9.5 Simplifying y = 9.5
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