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Simplifying 5(v + -2) + -2 = 2(y + 1) + -5 Reorder the terms: 5(-2 + v) + -2 = 2(y + 1) + -5 (-2 * 5 + v * 5) + -2 = 2(y + 1) + -5 (-10 + 5v) + -2 = 2(y + 1) + -5 Reorder the terms: -10 + -2 + 5v = 2(y + 1) + -5 Combine like terms: -10 + -2 = -12 -12 + 5v = 2(y + 1) + -5 Reorder the terms: -12 + 5v = 2(1 + y) + -5 -12 + 5v = (1 * 2 + y * 2) + -5 -12 + 5v = (2 + 2y) + -5 Reorder the terms: -12 + 5v = 2 + -5 + 2y Combine like terms: 2 + -5 = -3 -12 + 5v = -3 + 2y Solving -12 + 5v = -3 + 2y Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5v = -3 + 12 + 2y Combine like terms: -12 + 12 = 0 0 + 5v = -3 + 12 + 2y 5v = -3 + 12 + 2y Combine like terms: -3 + 12 = 9 5v = 9 + 2y Divide each side by '5'. v = 1.8 + 0.4y Simplifying v = 1.8 + 0.4y
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