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Simplifying 0.08(y + -5) + 0.14y = 0.12y + -0.01(10) Reorder the terms: 0.08(-5 + y) + 0.14y = 0.12y + -0.01(10) (-5 * 0.08 + y * 0.08) + 0.14y = 0.12y + -0.01(10) (-0.4 + 0.08y) + 0.14y = 0.12y + -0.01(10) Combine like terms: 0.08y + 0.14y = 0.22y -0.4 + 0.22y = 0.12y + -0.01(10) Multiply -0.01 * 10 -0.4 + 0.22y = 0.12y + -0.1 Reorder the terms: -0.4 + 0.22y = -0.1 + 0.12y Solving -0.4 + 0.22y = -0.1 + 0.12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.12y' to each side of the equation. -0.4 + 0.22y + -0.12y = -0.1 + 0.12y + -0.12y Combine like terms: 0.22y + -0.12y = 0.1y -0.4 + 0.1y = -0.1 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.4 + 0.1y = -0.1 + 0.00 -0.4 + 0.1y = -0.1 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.1y = -0.1 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.1y = -0.1 + 0.4 0.1y = -0.1 + 0.4 Combine like terms: -0.1 + 0.4 = 0.3 0.1y = 0.3 Divide each side by '0.1'. y = 3 Simplifying y = 3
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