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Simplifying -5(5y + -7) + 3(2y + 6) = 0 Reorder the terms: -5(-7 + 5y) + 3(2y + 6) = 0 (-7 * -5 + 5y * -5) + 3(2y + 6) = 0 (35 + -25y) + 3(2y + 6) = 0 Reorder the terms: 35 + -25y + 3(6 + 2y) = 0 35 + -25y + (6 * 3 + 2y * 3) = 0 35 + -25y + (18 + 6y) = 0 Reorder the terms: 35 + 18 + -25y + 6y = 0 Combine like terms: 35 + 18 = 53 53 + -25y + 6y = 0 Combine like terms: -25y + 6y = -19y 53 + -19y = 0 Solving 53 + -19y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + -19y = 0 + -53 Combine like terms: 53 + -53 = 0 0 + -19y = 0 + -53 -19y = 0 + -53 Combine like terms: 0 + -53 = -53 -19y = -53 Divide each side by '-19'. y = 2.789473684 Simplifying y = 2.789473684
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