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Simplifying 5(3 + -4y) + 14y = 7(2 + -5y) (3 * 5 + -4y * 5) + 14y = 7(2 + -5y) (15 + -20y) + 14y = 7(2 + -5y) Combine like terms: -20y + 14y = -6y 15 + -6y = 7(2 + -5y) 15 + -6y = (2 * 7 + -5y * 7) 15 + -6y = (14 + -35y) Solving 15 + -6y = 14 + -35y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '35y' to each side of the equation. 15 + -6y + 35y = 14 + -35y + 35y Combine like terms: -6y + 35y = 29y 15 + 29y = 14 + -35y + 35y Combine like terms: -35y + 35y = 0 15 + 29y = 14 + 0 15 + 29y = 14 Add '-15' to each side of the equation. 15 + -15 + 29y = 14 + -15 Combine like terms: 15 + -15 = 0 0 + 29y = 14 + -15 29y = 14 + -15 Combine like terms: 14 + -15 = -1 29y = -1 Divide each side by '29'. y = -0.03448275862 Simplifying y = -0.03448275862
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