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Simplifying 4(3y + -5) + -1(6y + 5) = 0 Reorder the terms: 4(-5 + 3y) + -1(6y + 5) = 0 (-5 * 4 + 3y * 4) + -1(6y + 5) = 0 (-20 + 12y) + -1(6y + 5) = 0 Reorder the terms: -20 + 12y + -1(5 + 6y) = 0 -20 + 12y + (5 * -1 + 6y * -1) = 0 -20 + 12y + (-5 + -6y) = 0 Reorder the terms: -20 + -5 + 12y + -6y = 0 Combine like terms: -20 + -5 = -25 -25 + 12y + -6y = 0 Combine like terms: 12y + -6y = 6y -25 + 6y = 0 Solving -25 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 6y = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 6y = 0 + 25 6y = 0 + 25 Combine like terms: 0 + 25 = 25 6y = 25 Divide each side by '6'. y = 4.166666667 Simplifying y = 4.166666667
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