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Simplifying 0.06(y + -8) + 0.02y = 0.20y + -0.09(10) Reorder the terms: 0.06(-8 + y) + 0.02y = 0.20y + -0.09(10) (-8 * 0.06 + y * 0.06) + 0.02y = 0.20y + -0.09(10) (-0.48 + 0.06y) + 0.02y = 0.20y + -0.09(10) Combine like terms: 0.06y + 0.02y = 0.08y -0.48 + 0.08y = 0.20y + -0.09(10) Multiply -0.09 * 10 -0.48 + 0.08y = 0.20y + -0.9 Reorder the terms: -0.48 + 0.08y = -0.9 + 0.20y Solving -0.48 + 0.08y = -0.9 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.48 + 0.08y + -0.20y = -0.9 + 0.20y + -0.20y Combine like terms: 0.08y + -0.20y = -0.12y -0.48 + -0.12y = -0.9 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.48 + -0.12y = -0.9 + 0.00 -0.48 + -0.12y = -0.9 Add '0.48' to each side of the equation. -0.48 + 0.48 + -0.12y = -0.9 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + -0.12y = -0.9 + 0.48 -0.12y = -0.9 + 0.48 Combine like terms: -0.9 + 0.48 = -0.42 -0.12y = -0.42 Divide each side by '-0.12'. y = 3.5 Simplifying y = 3.5
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