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Simplifying 0.12(y + -1) + 0.06y = 0.08y + -0.01(70) Reorder the terms: 0.12(-1 + y) + 0.06y = 0.08y + -0.01(70) (-1 * 0.12 + y * 0.12) + 0.06y = 0.08y + -0.01(70) (-0.12 + 0.12y) + 0.06y = 0.08y + -0.01(70) Combine like terms: 0.12y + 0.06y = 0.18y -0.12 + 0.18y = 0.08y + -0.01(70) Multiply -0.01 * 70 -0.12 + 0.18y = 0.08y + -0.7 Reorder the terms: -0.12 + 0.18y = -0.7 + 0.08y Solving -0.12 + 0.18y = -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. -0.12 + 0.18y + -0.08y = -0.7 + 0.08y + -0.08y Combine like terms: 0.18y + -0.08y = 0.1y -0.12 + 0.1y = -0.7 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.12 + 0.1y = -0.7 + 0.00 -0.12 + 0.1y = -0.7 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.1y = -0.7 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.1y = -0.7 + 0.12 0.1y = -0.7 + 0.12 Combine like terms: -0.7 + 0.12 = -0.58 0.1y = -0.58 Divide each side by '0.1'. y = -5.8 Simplifying y = -5.8
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