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Simplifying 0.12(y + -6) + 0.06 = 0.08y + -0.70 Reorder the terms: 0.12(-6 + y) + 0.06 = 0.08y + -0.70 (-6 * 0.12 + y * 0.12) + 0.06 = 0.08y + -0.70 (-0.72 + 0.12y) + 0.06 = 0.08y + -0.70 Reorder the terms: -0.72 + 0.06 + 0.12y = 0.08y + -0.70 Combine like terms: -0.72 + 0.06 = -0.66 -0.66 + 0.12y = 0.08y + -0.70 Reorder the terms: -0.66 + 0.12y = -0.70 + 0.08y Solving -0.66 + 0.12y = -0.70 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -0.66 + 0.12y + -0.08y = -0.70 + 0.08y + -0.08y Combine like terms: 0.12y + -0.08y = 0.04y -0.66 + 0.04y = -0.70 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.66 + 0.04y = -0.70 + 0.00 -0.66 + 0.04y = -0.70 Add '0.66' to each side of the equation. -0.66 + 0.66 + 0.04y = -0.70 + 0.66 Combine like terms: -0.66 + 0.66 = 0.00 0.00 + 0.04y = -0.70 + 0.66 0.04y = -0.70 + 0.66 Combine like terms: -0.70 + 0.66 = -0.04 0.04y = -0.04 Divide each side by '0.04'. y = -1 Simplifying y = -1
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