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Simplifying 4(v + -1) + 4y = 3(t + -1) + 7 Reorder the terms: 4(-1 + v) + 4y = 3(t + -1) + 7 (-1 * 4 + v * 4) + 4y = 3(t + -1) + 7 (-4 + 4v) + 4y = 3(t + -1) + 7 Reorder the terms: -4 + 4v + 4y = 3(-1 + t) + 7 -4 + 4v + 4y = (-1 * 3 + t * 3) + 7 -4 + 4v + 4y = (-3 + 3t) + 7 Reorder the terms: -4 + 4v + 4y = -3 + 7 + 3t Combine like terms: -3 + 7 = 4 -4 + 4v + 4y = 4 + 3t Solving -4 + 4v + 4y = 4 + 3t Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4v + 4 + 4y = 4 + 4 + 3t Reorder the terms: -4 + 4 + 4v + 4y = 4 + 4 + 3t Combine like terms: -4 + 4 = 0 0 + 4v + 4y = 4 + 4 + 3t 4v + 4y = 4 + 4 + 3t Combine like terms: 4 + 4 = 8 4v + 4y = 8 + 3t Add '-4y' to each side of the equation. 4v + 4y + -4y = 8 + 3t + -4y Combine like terms: 4y + -4y = 0 4v + 0 = 8 + 3t + -4y 4v = 8 + 3t + -4y Divide each side by '4'. v = 2 + 0.75t + -1y Simplifying v = 2 + 0.75t + -1y
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