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Simplifying 0.12(y + -8) + 0.08y = 0.10y + -0.01(70) Reorder the terms: 0.12(-8 + y) + 0.08y = 0.10y + -0.01(70) (-8 * 0.12 + y * 0.12) + 0.08y = 0.10y + -0.01(70) (-0.96 + 0.12y) + 0.08y = 0.10y + -0.01(70) Combine like terms: 0.12y + 0.08y = 0.2y -0.96 + 0.2y = 0.10y + -0.01(70) Multiply -0.01 * 70 -0.96 + 0.2y = 0.10y + -0.7 Reorder the terms: -0.96 + 0.2y = -0.7 + 0.10y Solving -0.96 + 0.2y = -0.7 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.96 + 0.2y + -0.10y = -0.7 + 0.10y + -0.10y Combine like terms: 0.2y + -0.10y = 0.1y -0.96 + 0.1y = -0.7 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.96 + 0.1y = -0.7 + 0.00 -0.96 + 0.1y = -0.7 Add '0.96' to each side of the equation. -0.96 + 0.96 + 0.1y = -0.7 + 0.96 Combine like terms: -0.96 + 0.96 = 0.00 0.00 + 0.1y = -0.7 + 0.96 0.1y = -0.7 + 0.96 Combine like terms: -0.7 + 0.96 = 0.26 0.1y = 0.26 Divide each side by '0.1'. y = 2.6 Simplifying y = 2.6
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