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Simplifying 0.12(y + -9) + 0.08y = 0.16y + -0.07(20) Reorder the terms: 0.12(-9 + y) + 0.08y = 0.16y + -0.07(20) (-9 * 0.12 + y * 0.12) + 0.08y = 0.16y + -0.07(20) (-1.08 + 0.12y) + 0.08y = 0.16y + -0.07(20) Combine like terms: 0.12y + 0.08y = 0.2y -1.08 + 0.2y = 0.16y + -0.07(20) Multiply -0.07 * 20 -1.08 + 0.2y = 0.16y + -1.4 Reorder the terms: -1.08 + 0.2y = -1.4 + 0.16y Solving -1.08 + 0.2y = -1.4 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -1.08 + 0.2y + -0.16y = -1.4 + 0.16y + -0.16y Combine like terms: 0.2y + -0.16y = 0.04y -1.08 + 0.04y = -1.4 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -1.08 + 0.04y = -1.4 + 0.00 -1.08 + 0.04y = -1.4 Add '1.08' to each side of the equation. -1.08 + 1.08 + 0.04y = -1.4 + 1.08 Combine like terms: -1.08 + 1.08 = 0.00 0.00 + 0.04y = -1.4 + 1.08 0.04y = -1.4 + 1.08 Combine like terms: -1.4 + 1.08 = -0.32 0.04y = -0.32 Divide each side by '0.04'. y = -8 Simplifying y = -8
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