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Simplifying 0.10(y + -8) + 0.06 = 0.20y + -0.01(70) Reorder the terms: 0.10(-8 + y) + 0.06 = 0.20y + -0.01(70) (-8 * 0.10 + y * 0.10) + 0.06 = 0.20y + -0.01(70) (-0.8 + 0.10y) + 0.06 = 0.20y + -0.01(70) Reorder the terms: -0.8 + 0.06 + 0.10y = 0.20y + -0.01(70) Combine like terms: -0.8 + 0.06 = -0.74 -0.74 + 0.10y = 0.20y + -0.01(70) Multiply -0.01 * 70 -0.74 + 0.10y = 0.20y + -0.7 Reorder the terms: -0.74 + 0.10y = -0.7 + 0.20y Solving -0.74 + 0.10y = -0.7 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.74 + 0.10y + -0.20y = -0.7 + 0.20y + -0.20y Combine like terms: 0.10y + -0.20y = -0.1y -0.74 + -0.1y = -0.7 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.74 + -0.1y = -0.7 + 0.00 -0.74 + -0.1y = -0.7 Add '0.74' to each side of the equation. -0.74 + 0.74 + -0.1y = -0.7 + 0.74 Combine like terms: -0.74 + 0.74 = 0.00 0.00 + -0.1y = -0.7 + 0.74 -0.1y = -0.7 + 0.74 Combine like terms: -0.7 + 0.74 = 0.04 -0.1y = 0.04 Divide each side by '-0.1'. y = -0.4 Simplifying y = -0.4
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