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Simplifying 5(3 + -4y) + 14y = 7(2 + -5x) (3 * 5 + -4y * 5) + 14y = 7(2 + -5x) (15 + -20y) + 14y = 7(2 + -5x) Combine like terms: -20y + 14y = -6y 15 + -6y = 7(2 + -5x) 15 + -6y = (2 * 7 + -5x * 7) 15 + -6y = (14 + -35x) Solving 15 + -6y = 14 + -35x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -6y = 14 + -15 + -35x Combine like terms: 15 + -15 = 0 0 + -6y = 14 + -15 + -35x -6y = 14 + -15 + -35x Combine like terms: 14 + -15 = -1 -6y = -1 + -35x Divide each side by '-6'. y = 0.1666666667 + 5.833333333x Simplifying y = 0.1666666667 + 5.833333333x
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