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Simplifying 4y + -13 + -10v = 12 + -24v + 5 Reorder the terms: -13 + -10v + 4y = 12 + -24v + 5 Reorder the terms: -13 + -10v + 4y = 12 + 5 + -24v Combine like terms: 12 + 5 = 17 -13 + -10v + 4y = 17 + -24v Solving -13 + -10v + 4y = 17 + -24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24v' to each side of the equation. -13 + -10v + 24v + 4y = 17 + -24v + 24v Combine like terms: -10v + 24v = 14v -13 + 14v + 4y = 17 + -24v + 24v Combine like terms: -24v + 24v = 0 -13 + 14v + 4y = 17 + 0 -13 + 14v + 4y = 17 Add '13' to each side of the equation. -13 + 14v + 13 + 4y = 17 + 13 Reorder the terms: -13 + 13 + 14v + 4y = 17 + 13 Combine like terms: -13 + 13 = 0 0 + 14v + 4y = 17 + 13 14v + 4y = 17 + 13 Combine like terms: 17 + 13 = 30 14v + 4y = 30 Add '-4y' to each side of the equation. 14v + 4y + -4y = 30 + -4y Combine like terms: 4y + -4y = 0 14v + 0 = 30 + -4y 14v = 30 + -4y Divide each side by '14'. v = 2.142857143 + -0.2857142857y Simplifying v = 2.142857143 + -0.2857142857y
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