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Simplifying 3x + 4y = 14 + 3(x + -1y) 3x + 4y = 14 + (x * 3 + -1y * 3) 3x + 4y = 14 + (3x + -3y) Add '-3x' to each side of the equation. 3x + -3x + 4y = 14 + 3x + -3x + -3y Combine like terms: 3x + -3x = 0 0 + 4y = 14 + 3x + -3x + -3y 4y = 14 + 3x + -3x + -3y Combine like terms: 3x + -3x = 0 4y = 14 + 0 + -3y 4y = 14 + -3y Solving 4y = 14 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 4y + 3y = 14 + -3y + 3y Combine like terms: 4y + 3y = 7y 7y = 14 + -3y + 3y Combine like terms: -3y + 3y = 0 7y = 14 + 0 7y = 14 Divide each side by '7'. y = 2 Simplifying y = 2
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