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Simplifying 0.12(y + -9) + 0.18y = 0.10y + -0.1(50) Reorder the terms: 0.12(-9 + y) + 0.18y = 0.10y + -0.1(50) (-9 * 0.12 + y * 0.12) + 0.18y = 0.10y + -0.1(50) (-1.08 + 0.12y) + 0.18y = 0.10y + -0.1(50) Combine like terms: 0.12y + 0.18y = 0.3y -1.08 + 0.3y = 0.10y + -0.1(50) Multiply -0.1 * 50 -1.08 + 0.3y = 0.10y + -5 Reorder the terms: -1.08 + 0.3y = -5 + 0.10y Solving -1.08 + 0.3y = -5 + 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. -1.08 + 0.3y + -0.10y = -5 + 0.10y + -0.10y Combine like terms: 0.3y + -0.10y = 0.2y -1.08 + 0.2y = -5 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -1.08 + 0.2y = -5 + 0.00 -1.08 + 0.2y = -5 Add '1.08' to each side of the equation. -1.08 + 1.08 + 0.2y = -5 + 1.08 Combine like terms: -1.08 + 1.08 = 0.00 0.00 + 0.2y = -5 + 1.08 0.2y = -5 + 1.08 Combine like terms: -5 + 1.08 = -3.92 0.2y = -3.92 Divide each side by '0.2'. y = -19.6 Simplifying y = -19.6
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