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Simplifying 0.04(y + -17) + 0.08y = 0.02y + -0.01(70) Reorder the terms: 0.04(-17 + y) + 0.08y = 0.02y + -0.01(70) (-17 * 0.04 + y * 0.04) + 0.08y = 0.02y + -0.01(70) (-0.68 + 0.04y) + 0.08y = 0.02y + -0.01(70) Combine like terms: 0.04y + 0.08y = 0.12y -0.68 + 0.12y = 0.02y + -0.01(70) Multiply -0.01 * 70 -0.68 + 0.12y = 0.02y + -0.7 Reorder the terms: -0.68 + 0.12y = -0.7 + 0.02y Solving -0.68 + 0.12y = -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. -0.68 + 0.12y + -0.02y = -0.7 + 0.02y + -0.02y Combine like terms: 0.12y + -0.02y = 0.1y -0.68 + 0.1y = -0.7 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.68 + 0.1y = -0.7 + 0.00 -0.68 + 0.1y = -0.7 Add '0.68' to each side of the equation. -0.68 + 0.68 + 0.1y = -0.7 + 0.68 Combine like terms: -0.68 + 0.68 = 0.00 0.00 + 0.1y = -0.7 + 0.68 0.1y = -0.7 + 0.68 Combine like terms: -0.7 + 0.68 = -0.02 0.1y = -0.02 Divide each side by '0.1'. y = -0.2 Simplifying y = -0.2
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