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Simplifying 0.04(y + -1) + 0.08 = 0.02y + -0.01(70) Reorder the terms: 0.04(-1 + y) + 0.08 = 0.02y + -0.01(70) (-1 * 0.04 + y * 0.04) + 0.08 = 0.02y + -0.01(70) (-0.04 + 0.04y) + 0.08 = 0.02y + -0.01(70) Reorder the terms: -0.04 + 0.08 + 0.04y = 0.02y + -0.01(70) Combine like terms: -0.04 + 0.08 = 0.04 0.04 + 0.04y = 0.02y + -0.01(70) Multiply -0.01 * 70 0.04 + 0.04y = 0.02y + -0.7 Reorder the terms: 0.04 + 0.04y = -0.7 + 0.02y Solving 0.04 + 0.04y = -0.7 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. 0.04 + 0.04y + -0.02y = -0.7 + 0.02y + -0.02y Combine like terms: 0.04y + -0.02y = 0.02y 0.04 + 0.02y = -0.7 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 0.04 + 0.02y = -0.7 + 0.00 0.04 + 0.02y = -0.7 Add '-0.04' to each side of the equation. 0.04 + -0.04 + 0.02y = -0.7 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + 0.02y = -0.7 + -0.04 0.02y = -0.7 + -0.04 Combine like terms: -0.7 + -0.04 = -0.74 0.02y = -0.74 Divide each side by '0.02'. y = -37 Simplifying y = -37
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