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Simplifying 0.16(y + -6) + 0.06y = 0.12y + -1.2 Reorder the terms: 0.16(-6 + y) + 0.06y = 0.12y + -1.2 (-6 * 0.16 + y * 0.16) + 0.06y = 0.12y + -1.2 (-0.96 + 0.16y) + 0.06y = 0.12y + -1.2 Combine like terms: 0.16y + 0.06y = 0.22y -0.96 + 0.22y = 0.12y + -1.2 Reorder the terms: -0.96 + 0.22y = -1.2 + 0.12y Solving -0.96 + 0.22y = -1.2 + 0.12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.12y' to each side of the equation. -0.96 + 0.22y + -0.12y = -1.2 + 0.12y + -0.12y Combine like terms: 0.22y + -0.12y = 0.1y -0.96 + 0.1y = -1.2 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.96 + 0.1y = -1.2 + 0.00 -0.96 + 0.1y = -1.2 Add '0.96' to each side of the equation. -0.96 + 0.96 + 0.1y = -1.2 + 0.96 Combine like terms: -0.96 + 0.96 = 0.00 0.00 + 0.1y = -1.2 + 0.96 0.1y = -1.2 + 0.96 Combine like terms: -1.2 + 0.96 = -0.24 0.1y = -0.24 Divide each side by '0.1'. y = -2.4 Simplifying y = -2.4
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