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Simplifying 0.12(y + -6) + 0.20y = 0.18y + -0.3 Reorder the terms: 0.12(-6 + y) + 0.20y = 0.18y + -0.3 (-6 * 0.12 + y * 0.12) + 0.20y = 0.18y + -0.3 (-0.72 + 0.12y) + 0.20y = 0.18y + -0.3 Combine like terms: 0.12y + 0.20y = 0.32y -0.72 + 0.32y = 0.18y + -0.3 Reorder the terms: -0.72 + 0.32y = -0.3 + 0.18y Solving -0.72 + 0.32y = -0.3 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -0.72 + 0.32y + -0.18y = -0.3 + 0.18y + -0.18y Combine like terms: 0.32y + -0.18y = 0.14y -0.72 + 0.14y = -0.3 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.72 + 0.14y = -0.3 + 0.00 -0.72 + 0.14y = -0.3 Add '0.72' to each side of the equation. -0.72 + 0.72 + 0.14y = -0.3 + 0.72 Combine like terms: -0.72 + 0.72 = 0.00 0.00 + 0.14y = -0.3 + 0.72 0.14y = -0.3 + 0.72 Combine like terms: -0.3 + 0.72 = 0.42 0.14y = 0.42 Divide each side by '0.14'. y = 3 Simplifying y = 3
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