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Simplifying 0.04(y + -8) + 0.14y = 0.06y + -0.01(20) Reorder the terms: 0.04(-8 + y) + 0.14y = 0.06y + -0.01(20) (-8 * 0.04 + y * 0.04) + 0.14y = 0.06y + -0.01(20) (-0.32 + 0.04y) + 0.14y = 0.06y + -0.01(20) Combine like terms: 0.04y + 0.14y = 0.18y -0.32 + 0.18y = 0.06y + -0.01(20) Multiply -0.01 * 20 -0.32 + 0.18y = 0.06y + -0.2 Reorder the terms: -0.32 + 0.18y = -0.2 + 0.06y Solving -0.32 + 0.18y = -0.2 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.32 + 0.18y + -0.06y = -0.2 + 0.06y + -0.06y Combine like terms: 0.18y + -0.06y = 0.12y -0.32 + 0.12y = -0.2 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.32 + 0.12y = -0.2 + 0.00 -0.32 + 0.12y = -0.2 Add '0.32' to each side of the equation. -0.32 + 0.32 + 0.12y = -0.2 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + 0.12y = -0.2 + 0.32 0.12y = -0.2 + 0.32 Combine like terms: -0.2 + 0.32 = 0.12 0.12y = 0.12 Divide each side by '0.12'. y = 1 Simplifying y = 1
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