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Simplifying 5(4y + 3) = 2(3y + -4) Reorder the terms: 5(3 + 4y) = 2(3y + -4) (3 * 5 + 4y * 5) = 2(3y + -4) (15 + 20y) = 2(3y + -4) Reorder the terms: 15 + 20y = 2(-4 + 3y) 15 + 20y = (-4 * 2 + 3y * 2) 15 + 20y = (-8 + 6y) Solving 15 + 20y = -8 + 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. 15 + 20y + -6y = -8 + 6y + -6y Combine like terms: 20y + -6y = 14y 15 + 14y = -8 + 6y + -6y Combine like terms: 6y + -6y = 0 15 + 14y = -8 + 0 15 + 14y = -8 Add '-15' to each side of the equation. 15 + -15 + 14y = -8 + -15 Combine like terms: 15 + -15 = 0 0 + 14y = -8 + -15 14y = -8 + -15 Combine like terms: -8 + -15 = -23 14y = -23 Divide each side by '14'. y = -1.642857143 Simplifying y = -1.642857143
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