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Simplifying 0.2(y + -6) + 0.12y = 0.18y + -0.3 Reorder the terms: 0.2(-6 + y) + 0.12y = 0.18y + -0.3 (-6 * 0.2 + y * 0.2) + 0.12y = 0.18y + -0.3 (-1.2 + 0.2y) + 0.12y = 0.18y + -0.3 Combine like terms: 0.2y + 0.12y = 0.32y -1.2 + 0.32y = 0.18y + -0.3 Reorder the terms: -1.2 + 0.32y = -0.3 + 0.18y Solving -1.2 + 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. -1.2 + 0.32y + -0.18y = -0.3 + 0.18y + -0.18y Combine like terms: 0.32y + -0.18y = 0.14y -1.2 + 0.14y = -0.3 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -1.2 + 0.14y = -0.3 + 0.00 -1.2 + 0.14y = -0.3 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.14y = -0.3 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.14y = -0.3 + 1.2 0.14y = -0.3 + 1.2 Combine like terms: -0.3 + 1.2 = 0.9 0.14y = 0.9 Divide each side by '0.14'. y = 6.428571429 Simplifying y = 6.428571429
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