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Simplifying 0.12(y + -2) + 0.08y = 0.16y + -0.01(20) Reorder the terms: 0.12(-2 + y) + 0.08y = 0.16y + -0.01(20) (-2 * 0.12 + y * 0.12) + 0.08y = 0.16y + -0.01(20) (-0.24 + 0.12y) + 0.08y = 0.16y + -0.01(20) Combine like terms: 0.12y + 0.08y = 0.2y -0.24 + 0.2y = 0.16y + -0.01(20) Multiply -0.01 * 20 -0.24 + 0.2y = 0.16y + -0.2 Reorder the terms: -0.24 + 0.2y = -0.2 + 0.16y Solving -0.24 + 0.2y = -0.2 + 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. -0.24 + 0.2y + -0.16y = -0.2 + 0.16y + -0.16y Combine like terms: 0.2y + -0.16y = 0.04y -0.24 + 0.04y = -0.2 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.24 + 0.04y = -0.2 + 0.00 -0.24 + 0.04y = -0.2 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.04y = -0.2 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.04y = -0.2 + 0.24 0.04y = -0.2 + 0.24 Combine like terms: -0.2 + 0.24 = 0.04 0.04y = 0.04 Divide each side by '0.04'. y = 1 Simplifying y = 1
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