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Simplifying 5(3y + -4) + -3(2y + 1) = 0 Reorder the terms: 5(-4 + 3y) + -3(2y + 1) = 0 (-4 * 5 + 3y * 5) + -3(2y + 1) = 0 (-20 + 15y) + -3(2y + 1) = 0 Reorder the terms: -20 + 15y + -3(1 + 2y) = 0 -20 + 15y + (1 * -3 + 2y * -3) = 0 -20 + 15y + (-3 + -6y) = 0 Reorder the terms: -20 + -3 + 15y + -6y = 0 Combine like terms: -20 + -3 = -23 -23 + 15y + -6y = 0 Combine like terms: 15y + -6y = 9y -23 + 9y = 0 Solving -23 + 9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 9y = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 9y = 0 + 23 9y = 0 + 23 Combine like terms: 0 + 23 = 23 9y = 23 Divide each side by '9'. y = 2.555555556 Simplifying y = 2.555555556
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