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Simplifying 0.10(y + -9) + 0.12y = 0.6y + -0.07(30) Reorder the terms: 0.10(-9 + y) + 0.12y = 0.6y + -0.07(30) (-9 * 0.10 + y * 0.10) + 0.12y = 0.6y + -0.07(30) (-0.9 + 0.10y) + 0.12y = 0.6y + -0.07(30) Combine like terms: 0.10y + 0.12y = 0.22y -0.9 + 0.22y = 0.6y + -0.07(30) Multiply -0.07 * 30 -0.9 + 0.22y = 0.6y + -2.1 Reorder the terms: -0.9 + 0.22y = -2.1 + 0.6y Solving -0.9 + 0.22y = -2.1 + 0.6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.6y' to each side of the equation. -0.9 + 0.22y + -0.6y = -2.1 + 0.6y + -0.6y Combine like terms: 0.22y + -0.6y = -0.38y -0.9 + -0.38y = -2.1 + 0.6y + -0.6y Combine like terms: 0.6y + -0.6y = 0.0 -0.9 + -0.38y = -2.1 + 0.0 -0.9 + -0.38y = -2.1 Add '0.9' to each side of the equation. -0.9 + 0.9 + -0.38y = -2.1 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + -0.38y = -2.1 + 0.9 -0.38y = -2.1 + 0.9 Combine like terms: -2.1 + 0.9 = -1.2 -0.38y = -1.2 Divide each side by '-0.38'. y = 3.157894737 Simplifying y = 3.157894737
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