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Simplifying -3(4y + -5) = 3(1 + -5y) + 14 Reorder the terms: -3(-5 + 4y) = 3(1 + -5y) + 14 (-5 * -3 + 4y * -3) = 3(1 + -5y) + 14 (15 + -12y) = 3(1 + -5y) + 14 15 + -12y = (1 * 3 + -5y * 3) + 14 15 + -12y = (3 + -15y) + 14 Reorder the terms: 15 + -12y = 3 + 14 + -15y Combine like terms: 3 + 14 = 17 15 + -12y = 17 + -15y Solving 15 + -12y = 17 + -15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15y' to each side of the equation. 15 + -12y + 15y = 17 + -15y + 15y Combine like terms: -12y + 15y = 3y 15 + 3y = 17 + -15y + 15y Combine like terms: -15y + 15y = 0 15 + 3y = 17 + 0 15 + 3y = 17 Add '-15' to each side of the equation. 15 + -15 + 3y = 17 + -15 Combine like terms: 15 + -15 = 0 0 + 3y = 17 + -15 3y = 17 + -15 Combine like terms: 17 + -15 = 2 3y = 2 Divide each side by '3'. y = 0.6666666667 Simplifying y = 0.6666666667
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