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Simplifying 0.12(y + -6) + 0.04y = 0.08y + -0.01(70) Reorder the terms: 0.12(-6 + y) + 0.04y = 0.08y + -0.01(70) (-6 * 0.12 + y * 0.12) + 0.04y = 0.08y + -0.01(70) (-0.72 + 0.12y) + 0.04y = 0.08y + -0.01(70) Combine like terms: 0.12y + 0.04y = 0.16y -0.72 + 0.16y = 0.08y + -0.01(70) Multiply -0.01 * 70 -0.72 + 0.16y = 0.08y + -0.7 Reorder the terms: -0.72 + 0.16y = -0.7 + 0.08y Solving -0.72 + 0.16y = -0.7 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -0.72 + 0.16y + -0.08y = -0.7 + 0.08y + -0.08y Combine like terms: 0.16y + -0.08y = 0.08y -0.72 + 0.08y = -0.7 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.72 + 0.08y = -0.7 + 0.00 -0.72 + 0.08y = -0.7 Add '0.72' to each side of the equation. -0.72 + 0.72 + 0.08y = -0.7 + 0.72 Combine like terms: -0.72 + 0.72 = 0.00 0.00 + 0.08y = -0.7 + 0.72 0.08y = -0.7 + 0.72 Combine like terms: -0.7 + 0.72 = 0.02 0.08y = 0.02 Divide each side by '0.08'. y = 0.25 Simplifying y = 0.25
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