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Simplifying 0.12(y + -6) + 0.16 = 0.10y + -0.9 Reorder the terms: 0.12(-6 + y) + 0.16 = 0.10y + -0.9 (-6 * 0.12 + y * 0.12) + 0.16 = 0.10y + -0.9 (-0.72 + 0.12y) + 0.16 = 0.10y + -0.9 Reorder the terms: -0.72 + 0.16 + 0.12y = 0.10y + -0.9 Combine like terms: -0.72 + 0.16 = -0.56 -0.56 + 0.12y = 0.10y + -0.9 Reorder the terms: -0.56 + 0.12y = -0.9 + 0.10y Solving -0.56 + 0.12y = -0.9 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.56 + 0.12y + -0.10y = -0.9 + 0.10y + -0.10y Combine like terms: 0.12y + -0.10y = 0.02y -0.56 + 0.02y = -0.9 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.56 + 0.02y = -0.9 + 0.00 -0.56 + 0.02y = -0.9 Add '0.56' to each side of the equation. -0.56 + 0.56 + 0.02y = -0.9 + 0.56 Combine like terms: -0.56 + 0.56 = 0.00 0.00 + 0.02y = -0.9 + 0.56 0.02y = -0.9 + 0.56 Combine like terms: -0.9 + 0.56 = -0.34 0.02y = -0.34 Divide each side by '0.02'. y = -17 Simplifying y = -17
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