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Simplifying 0.04(y + -9) + 0.16y = 0.08y + -0.06 Reorder the terms: 0.04(-9 + y) + 0.16y = 0.08y + -0.06 (-9 * 0.04 + y * 0.04) + 0.16y = 0.08y + -0.06 (-0.36 + 0.04y) + 0.16y = 0.08y + -0.06 Combine like terms: 0.04y + 0.16y = 0.2y -0.36 + 0.2y = 0.08y + -0.06 Reorder the terms: -0.36 + 0.2y = -0.06 + 0.08y Solving -0.36 + 0.2y = -0.06 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -0.36 + 0.2y + -0.08y = -0.06 + 0.08y + -0.08y Combine like terms: 0.2y + -0.08y = 0.12y -0.36 + 0.12y = -0.06 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.36 + 0.12y = -0.06 + 0.00 -0.36 + 0.12y = -0.06 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.12y = -0.06 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.12y = -0.06 + 0.36 0.12y = -0.06 + 0.36 Combine like terms: -0.06 + 0.36 = 0.3 0.12y = 0.3 Divide each side by '0.12'. y = 2.5 Simplifying y = 2.5
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