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Simplifying 4(5y + 3) = 3(2y + -5) Reorder the terms: 4(3 + 5y) = 3(2y + -5) (3 * 4 + 5y * 4) = 3(2y + -5) (12 + 20y) = 3(2y + -5) Reorder the terms: 12 + 20y = 3(-5 + 2y) 12 + 20y = (-5 * 3 + 2y * 3) 12 + 20y = (-15 + 6y) Solving 12 + 20y = -15 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 12 + 20y + -6y = -15 + 6y + -6y Combine like terms: 20y + -6y = 14y 12 + 14y = -15 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + 14y = -15 + 0 12 + 14y = -15 Add '-12' to each side of the equation. 12 + -12 + 14y = -15 + -12 Combine like terms: 12 + -12 = 0 0 + 14y = -15 + -12 14y = -15 + -12 Combine like terms: -15 + -12 = -27 14y = -27 Divide each side by '14'. y = -1.928571429 Simplifying y = -1.928571429
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