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Simplifying -5(5y + -7) + 2(3y + 8) = 0 Reorder the terms: -5(-7 + 5y) + 2(3y + 8) = 0 (-7 * -5 + 5y * -5) + 2(3y + 8) = 0 (35 + -25y) + 2(3y + 8) = 0 Reorder the terms: 35 + -25y + 2(8 + 3y) = 0 35 + -25y + (8 * 2 + 3y * 2) = 0 35 + -25y + (16 + 6y) = 0 Reorder the terms: 35 + 16 + -25y + 6y = 0 Combine like terms: 35 + 16 = 51 51 + -25y + 6y = 0 Combine like terms: -25y + 6y = -19y 51 + -19y = 0 Solving 51 + -19y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -19y = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -19y = 0 + -51 -19y = 0 + -51 Combine like terms: 0 + -51 = -51 -19y = -51 Divide each side by '-19'. y = 2.684210526 Simplifying y = 2.684210526
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