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Simplifying 5(6y + -3) + -1(3y + 5) = 0 Reorder the terms: 5(-3 + 6y) + -1(3y + 5) = 0 (-3 * 5 + 6y * 5) + -1(3y + 5) = 0 (-15 + 30y) + -1(3y + 5) = 0 Reorder the terms: -15 + 30y + -1(5 + 3y) = 0 -15 + 30y + (5 * -1 + 3y * -1) = 0 -15 + 30y + (-5 + -3y) = 0 Reorder the terms: -15 + -5 + 30y + -3y = 0 Combine like terms: -15 + -5 = -20 -20 + 30y + -3y = 0 Combine like terms: 30y + -3y = 27y -20 + 27y = 0 Solving -20 + 27y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 27y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 27y = 0 + 20 27y = 0 + 20 Combine like terms: 0 + 20 = 20 27y = 20 Divide each side by '27'. y = 0.7407407407 Simplifying y = 0.7407407407
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