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Simplifying 0.02(y + -9) + 0.10y = 0.20y + -0.1 Reorder the terms: 0.02(-9 + y) + 0.10y = 0.20y + -0.1 (-9 * 0.02 + y * 0.02) + 0.10y = 0.20y + -0.1 (-0.18 + 0.02y) + 0.10y = 0.20y + -0.1 Combine like terms: 0.02y + 0.10y = 0.12y -0.18 + 0.12y = 0.20y + -0.1 Reorder the terms: -0.18 + 0.12y = -0.1 + 0.20y Solving -0.18 + 0.12y = -0.1 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.18 + 0.12y + -0.20y = -0.1 + 0.20y + -0.20y Combine like terms: 0.12y + -0.20y = -0.08y -0.18 + -0.08y = -0.1 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.18 + -0.08y = -0.1 + 0.00 -0.18 + -0.08y = -0.1 Add '0.18' to each side of the equation. -0.18 + 0.18 + -0.08y = -0.1 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + -0.08y = -0.1 + 0.18 -0.08y = -0.1 + 0.18 Combine like terms: -0.1 + 0.18 = 0.08 -0.08y = 0.08 Divide each side by '-0.08'. y = -1 Simplifying y = -1
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