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Simplifying 0.08(y + -8) + 0.06y = 0.12y + -0.01(50) Reorder the terms: 0.08(-8 + y) + 0.06y = 0.12y + -0.01(50) (-8 * 0.08 + y * 0.08) + 0.06y = 0.12y + -0.01(50) (-0.64 + 0.08y) + 0.06y = 0.12y + -0.01(50) Combine like terms: 0.08y + 0.06y = 0.14y -0.64 + 0.14y = 0.12y + -0.01(50) Multiply -0.01 * 50 -0.64 + 0.14y = 0.12y + -0.5 Reorder the terms: -0.64 + 0.14y = -0.5 + 0.12y Solving -0.64 + 0.14y = -0.5 + 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. -0.64 + 0.14y + -0.12y = -0.5 + 0.12y + -0.12y Combine like terms: 0.14y + -0.12y = 0.02y -0.64 + 0.02y = -0.5 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.64 + 0.02y = -0.5 + 0.00 -0.64 + 0.02y = -0.5 Add '0.64' to each side of the equation. -0.64 + 0.64 + 0.02y = -0.5 + 0.64 Combine like terms: -0.64 + 0.64 = 0.00 0.00 + 0.02y = -0.5 + 0.64 0.02y = -0.5 + 0.64 Combine like terms: -0.5 + 0.64 = 0.14 0.02y = 0.14 Divide each side by '0.02'. y = 7 Simplifying y = 7
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