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Simplifying 0.12(y + -1) + 0.18y = 0.10y + -0.1 Reorder the terms: 0.12(-1 + y) + 0.18y = 0.10y + -0.1 (-1 * 0.12 + y * 0.12) + 0.18y = 0.10y + -0.1 (-0.12 + 0.12y) + 0.18y = 0.10y + -0.1 Combine like terms: 0.12y + 0.18y = 0.3y -0.12 + 0.3y = 0.10y + -0.1 Reorder the terms: -0.12 + 0.3y = -0.1 + 0.10y Solving -0.12 + 0.3y = -0.1 + 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. -0.12 + 0.3y + -0.10y = -0.1 + 0.10y + -0.10y Combine like terms: 0.3y + -0.10y = 0.2y -0.12 + 0.2y = -0.1 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.12 + 0.2y = -0.1 + 0.00 -0.12 + 0.2y = -0.1 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.2y = -0.1 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.2y = -0.1 + 0.12 0.2y = -0.1 + 0.12 Combine like terms: -0.1 + 0.12 = 0.02 0.2y = 0.02 Divide each side by '0.2'. y = 0.1 Simplifying y = 0.1
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