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Simplifying 4(y + 1) + v = 8(v + -1) + 6 Reorder the terms: 4(1 + y) + v = 8(v + -1) + 6 (1 * 4 + y * 4) + v = 8(v + -1) + 6 (4 + 4y) + v = 8(v + -1) + 6 Reorder the terms: 4 + v + 4y = 8(v + -1) + 6 Reorder the terms: 4 + v + 4y = 8(-1 + v) + 6 4 + v + 4y = (-1 * 8 + v * 8) + 6 4 + v + 4y = (-8 + 8v) + 6 Reorder the terms: 4 + v + 4y = -8 + 6 + 8v Combine like terms: -8 + 6 = -2 4 + v + 4y = -2 + 8v Solving 4 + v + 4y = -2 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 4 + v + -8v + 4y = -2 + 8v + -8v Combine like terms: v + -8v = -7v 4 + -7v + 4y = -2 + 8v + -8v Combine like terms: 8v + -8v = 0 4 + -7v + 4y = -2 + 0 4 + -7v + 4y = -2 Add '-4' to each side of the equation. 4 + -7v + -4 + 4y = -2 + -4 Reorder the terms: 4 + -4 + -7v + 4y = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -7v + 4y = -2 + -4 -7v + 4y = -2 + -4 Combine like terms: -2 + -4 = -6 -7v + 4y = -6 Add '-4y' to each side of the equation. -7v + 4y + -4y = -6 + -4y Combine like terms: 4y + -4y = 0 -7v + 0 = -6 + -4y -7v = -6 + -4y Divide each side by '-7'. v = 0.8571428571 + 0.5714285714y Simplifying v = 0.8571428571 + 0.5714285714y
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