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Simplifying 0.10(y + -6) + 0.12y = 0.02y + -0.09(10) Reorder the terms: 0.10(-6 + y) + 0.12y = 0.02y + -0.09(10) (-6 * 0.10 + y * 0.10) + 0.12y = 0.02y + -0.09(10) (-0.6 + 0.10y) + 0.12y = 0.02y + -0.09(10) Combine like terms: 0.10y + 0.12y = 0.22y -0.6 + 0.22y = 0.02y + -0.09(10) Multiply -0.09 * 10 -0.6 + 0.22y = 0.02y + -0.9 Reorder the terms: -0.6 + 0.22y = -0.9 + 0.02y Solving -0.6 + 0.22y = -0.9 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.6 + 0.22y + -0.02y = -0.9 + 0.02y + -0.02y Combine like terms: 0.22y + -0.02y = 0.2y -0.6 + 0.2y = -0.9 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.6 + 0.2y = -0.9 + 0.00 -0.6 + 0.2y = -0.9 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.2y = -0.9 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.2y = -0.9 + 0.6 0.2y = -0.9 + 0.6 Combine like terms: -0.9 + 0.6 = -0.3 0.2y = -0.3 Divide each side by '0.2'. y = -1.5 Simplifying y = -1.5
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