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Simplifying 5(2 + y) + -1v = 10 + 4(v + 1) (2 * 5 + y * 5) + -1v = 10 + 4(v + 1) (10 + 5y) + -1v = 10 + 4(v + 1) Reorder the terms: 10 + -1v + 5y = 10 + 4(v + 1) Reorder the terms: 10 + -1v + 5y = 10 + 4(1 + v) 10 + -1v + 5y = 10 + (1 * 4 + v * 4) 10 + -1v + 5y = 10 + (4 + 4v) Combine like terms: 10 + 4 = 14 10 + -1v + 5y = 14 + 4v Solving 10 + -1v + 5y = 14 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 10 + -1v + -4v + 5y = 14 + 4v + -4v Combine like terms: -1v + -4v = -5v 10 + -5v + 5y = 14 + 4v + -4v Combine like terms: 4v + -4v = 0 10 + -5v + 5y = 14 + 0 10 + -5v + 5y = 14 Add '-10' to each side of the equation. 10 + -5v + -10 + 5y = 14 + -10 Reorder the terms: 10 + -10 + -5v + 5y = 14 + -10 Combine like terms: 10 + -10 = 0 0 + -5v + 5y = 14 + -10 -5v + 5y = 14 + -10 Combine like terms: 14 + -10 = 4 -5v + 5y = 4 Add '-5y' to each side of the equation. -5v + 5y + -5y = 4 + -5y Combine like terms: 5y + -5y = 0 -5v + 0 = 4 + -5y -5v = 4 + -5y Divide each side by '-5'. v = -0.8 + y Simplifying v = -0.8 + y
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