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Simplifying -5(5y + -6) + 3(2y + 6) = 0 Reorder the terms: -5(-6 + 5y) + 3(2y + 6) = 0 (-6 * -5 + 5y * -5) + 3(2y + 6) = 0 (30 + -25y) + 3(2y + 6) = 0 Reorder the terms: 30 + -25y + 3(6 + 2y) = 0 30 + -25y + (6 * 3 + 2y * 3) = 0 30 + -25y + (18 + 6y) = 0 Reorder the terms: 30 + 18 + -25y + 6y = 0 Combine like terms: 30 + 18 = 48 48 + -25y + 6y = 0 Combine like terms: -25y + 6y = -19y 48 + -19y = 0 Solving 48 + -19y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -19y = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -19y = 0 + -48 -19y = 0 + -48 Combine like terms: 0 + -48 = -48 -19y = -48 Divide each side by '-19'. y = 2.526315789 Simplifying y = 2.526315789
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