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Simplifying 5(4y + 7) + -3(2y + -8) = 0 Reorder the terms: 5(7 + 4y) + -3(2y + -8) = 0 (7 * 5 + 4y * 5) + -3(2y + -8) = 0 (35 + 20y) + -3(2y + -8) = 0 Reorder the terms: 35 + 20y + -3(-8 + 2y) = 0 35 + 20y + (-8 * -3 + 2y * -3) = 0 35 + 20y + (24 + -6y) = 0 Reorder the terms: 35 + 24 + 20y + -6y = 0 Combine like terms: 35 + 24 = 59 59 + 20y + -6y = 0 Combine like terms: 20y + -6y = 14y 59 + 14y = 0 Solving 59 + 14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + 14y = 0 + -59 Combine like terms: 59 + -59 = 0 0 + 14y = 0 + -59 14y = 0 + -59 Combine like terms: 0 + -59 = -59 14y = -59 Divide each side by '14'. y = -4.214285714 Simplifying y = -4.214285714
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