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Simplifying 0.18(y + -1) + 0.14y = 0.10y + -1.5 Reorder the terms: 0.18(-1 + y) + 0.14y = 0.10y + -1.5 (-1 * 0.18 + y * 0.18) + 0.14y = 0.10y + -1.5 (-0.18 + 0.18y) + 0.14y = 0.10y + -1.5 Combine like terms: 0.18y + 0.14y = 0.32y -0.18 + 0.32y = 0.10y + -1.5 Reorder the terms: -0.18 + 0.32y = -1.5 + 0.10y Solving -0.18 + 0.32y = -1.5 + 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. -0.18 + 0.32y + -0.10y = -1.5 + 0.10y + -0.10y Combine like terms: 0.32y + -0.10y = 0.22y -0.18 + 0.22y = -1.5 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.18 + 0.22y = -1.5 + 0.00 -0.18 + 0.22y = -1.5 Add '0.18' to each side of the equation. -0.18 + 0.18 + 0.22y = -1.5 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + 0.22y = -1.5 + 0.18 0.22y = -1.5 + 0.18 Combine like terms: -1.5 + 0.18 = -1.32 0.22y = -1.32 Divide each side by '0.22'. y = -6 Simplifying y = -6
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