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Simplifying 0.12(y + -6) + 0.16y = 0.18y + -0.7 Reorder the terms: 0.12(-6 + y) + 0.16y = 0.18y + -0.7 (-6 * 0.12 + y * 0.12) + 0.16y = 0.18y + -0.7 (-0.72 + 0.12y) + 0.16y = 0.18y + -0.7 Combine like terms: 0.12y + 0.16y = 0.28y -0.72 + 0.28y = 0.18y + -0.7 Reorder the terms: -0.72 + 0.28y = -0.7 + 0.18y Solving -0.72 + 0.28y = -0.7 + 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 + 0.28y + -0.18y = -0.7 + 0.18y + -0.18y Combine like terms: 0.28y + -0.18y = 0.1y -0.72 + 0.1y = -0.7 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.72 + 0.1y = -0.7 + 0.00 -0.72 + 0.1y = -0.7 Add '0.72' to each side of the equation. -0.72 + 0.72 + 0.1y = -0.7 + 0.72 Combine like terms: -0.72 + 0.72 = 0.00 0.00 + 0.1y = -0.7 + 0.72 0.1y = -0.7 + 0.72 Combine like terms: -0.7 + 0.72 = 0.02 0.1y = 0.02 Divide each side by '0.1'. y = 0.2 Simplifying y = 0.2
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