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Simplifying -5(5y + -5) + 3(2y + 9) = 1 Reorder the terms: -5(-5 + 5y) + 3(2y + 9) = 1 (-5 * -5 + 5y * -5) + 3(2y + 9) = 1 (25 + -25y) + 3(2y + 9) = 1 Reorder the terms: 25 + -25y + 3(9 + 2y) = 1 25 + -25y + (9 * 3 + 2y * 3) = 1 25 + -25y + (27 + 6y) = 1 Reorder the terms: 25 + 27 + -25y + 6y = 1 Combine like terms: 25 + 27 = 52 52 + -25y + 6y = 1 Combine like terms: -25y + 6y = -19y 52 + -19y = 1 Solving 52 + -19y = 1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -19y = 1 + -52 Combine like terms: 52 + -52 = 0 0 + -19y = 1 + -52 -19y = 1 + -52 Combine like terms: 1 + -52 = -51 -19y = -51 Divide each side by '-19'. y = 2.684210526 Simplifying y = 2.684210526
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