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Simplifying 0.18(y + -9) + 0.008y = 0.02y + -0.09(10) Reorder the terms: 0.18(-9 + y) + 0.008y = 0.02y + -0.09(10) (-9 * 0.18 + y * 0.18) + 0.008y = 0.02y + -0.09(10) (-1.62 + 0.18y) + 0.008y = 0.02y + -0.09(10) Combine like terms: 0.18y + 0.008y = 0.188y -1.62 + 0.188y = 0.02y + -0.09(10) Multiply -0.09 * 10 -1.62 + 0.188y = 0.02y + -0.9 Reorder the terms: -1.62 + 0.188y = -0.9 + 0.02y Solving -1.62 + 0.188y = -0.9 + 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. -1.62 + 0.188y + -0.02y = -0.9 + 0.02y + -0.02y Combine like terms: 0.188y + -0.02y = 0.168y -1.62 + 0.168y = -0.9 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -1.62 + 0.168y = -0.9 + 0.00 -1.62 + 0.168y = -0.9 Add '1.62' to each side of the equation. -1.62 + 1.62 + 0.168y = -0.9 + 1.62 Combine like terms: -1.62 + 1.62 = 0.00 0.00 + 0.168y = -0.9 + 1.62 0.168y = -0.9 + 1.62 Combine like terms: -0.9 + 1.62 = 0.72 0.168y = 0.72 Divide each side by '0.168'. y = 4.285714286 Simplifying y = 4.285714286
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