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Simplifying 0.10(y + -9) + 0.08y = 0.06y + -0.07(30) Reorder the terms: 0.10(-9 + y) + 0.08y = 0.06y + -0.07(30) (-9 * 0.10 + y * 0.10) + 0.08y = 0.06y + -0.07(30) (-0.9 + 0.10y) + 0.08y = 0.06y + -0.07(30) Combine like terms: 0.10y + 0.08y = 0.18y -0.9 + 0.18y = 0.06y + -0.07(30) Multiply -0.07 * 30 -0.9 + 0.18y = 0.06y + -2.1 Reorder the terms: -0.9 + 0.18y = -2.1 + 0.06y Solving -0.9 + 0.18y = -2.1 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.9 + 0.18y + -0.06y = -2.1 + 0.06y + -0.06y Combine like terms: 0.18y + -0.06y = 0.12y -0.9 + 0.12y = -2.1 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.9 + 0.12y = -2.1 + 0.00 -0.9 + 0.12y = -2.1 Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.12y = -2.1 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.12y = -2.1 + 0.9 0.12y = -2.1 + 0.9 Combine like terms: -2.1 + 0.9 = -1.2 0.12y = -1.2 Divide each side by '0.12'. y = -10 Simplifying y = -10
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