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Simplifying 3(4 + -5y) = 4(6 + -5y) (4 * 3 + -5y * 3) = 4(6 + -5y) (12 + -15y) = 4(6 + -5y) 12 + -15y = (6 * 4 + -5y * 4) 12 + -15y = (24 + -20y) Solving 12 + -15y = 24 + -20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20y' to each side of the equation. 12 + -15y + 20y = 24 + -20y + 20y Combine like terms: -15y + 20y = 5y 12 + 5y = 24 + -20y + 20y Combine like terms: -20y + 20y = 0 12 + 5y = 24 + 0 12 + 5y = 24 Add '-12' to each side of the equation. 12 + -12 + 5y = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 5y = 24 + -12 5y = 24 + -12 Combine like terms: 24 + -12 = 12 5y = 12 Divide each side by '5'. y = 2.4 Simplifying y = 2.4
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