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Simplifying 0.04(y + -8) + 0.16y = 0.18y + -0.01(50) Reorder the terms: 0.04(-8 + y) + 0.16y = 0.18y + -0.01(50) (-8 * 0.04 + y * 0.04) + 0.16y = 0.18y + -0.01(50) (-0.32 + 0.04y) + 0.16y = 0.18y + -0.01(50) Combine like terms: 0.04y + 0.16y = 0.2y -0.32 + 0.2y = 0.18y + -0.01(50) Multiply -0.01 * 50 -0.32 + 0.2y = 0.18y + -0.5 Reorder the terms: -0.32 + 0.2y = -0.5 + 0.18y Solving -0.32 + 0.2y = -0.5 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -0.32 + 0.2y + -0.18y = -0.5 + 0.18y + -0.18y Combine like terms: 0.2y + -0.18y = 0.02y -0.32 + 0.02y = -0.5 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.32 + 0.02y = -0.5 + 0.00 -0.32 + 0.02y = -0.5 Add '0.32' to each side of the equation. -0.32 + 0.32 + 0.02y = -0.5 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + 0.02y = -0.5 + 0.32 0.02y = -0.5 + 0.32 Combine like terms: -0.5 + 0.32 = -0.18 0.02y = -0.18 Divide each side by '0.02'. y = -9 Simplifying y = -9
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