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Simplifying 10(v + 1) + -4y = 3(2v + 2) + -11 Reorder the terms: 10(1 + v) + -4y = 3(2v + 2) + -11 (1 * 10 + v * 10) + -4y = 3(2v + 2) + -11 (10 + 10v) + -4y = 3(2v + 2) + -11 Reorder the terms: 10 + 10v + -4y = 3(2 + 2v) + -11 10 + 10v + -4y = (2 * 3 + 2v * 3) + -11 10 + 10v + -4y = (6 + 6v) + -11 Reorder the terms: 10 + 10v + -4y = 6 + -11 + 6v Combine like terms: 6 + -11 = -5 10 + 10v + -4y = -5 + 6v Solving 10 + 10v + -4y = -5 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 10 + 10v + -6v + -4y = -5 + 6v + -6v Combine like terms: 10v + -6v = 4v 10 + 4v + -4y = -5 + 6v + -6v Combine like terms: 6v + -6v = 0 10 + 4v + -4y = -5 + 0 10 + 4v + -4y = -5 Add '-10' to each side of the equation. 10 + 4v + -10 + -4y = -5 + -10 Reorder the terms: 10 + -10 + 4v + -4y = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 4v + -4y = -5 + -10 4v + -4y = -5 + -10 Combine like terms: -5 + -10 = -15 4v + -4y = -15 Add '4y' to each side of the equation. 4v + -4y + 4y = -15 + 4y Combine like terms: -4y + 4y = 0 4v + 0 = -15 + 4y 4v = -15 + 4y Divide each side by '4'. v = -3.75 + y Simplifying v = -3.75 + y
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