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Simplifying -5(5y + -5) + 3(3y + 7) = 34y + -46 Reorder the terms: -5(-5 + 5y) + 3(3y + 7) = 34y + -46 (-5 * -5 + 5y * -5) + 3(3y + 7) = 34y + -46 (25 + -25y) + 3(3y + 7) = 34y + -46 Reorder the terms: 25 + -25y + 3(7 + 3y) = 34y + -46 25 + -25y + (7 * 3 + 3y * 3) = 34y + -46 25 + -25y + (21 + 9y) = 34y + -46 Reorder the terms: 25 + 21 + -25y + 9y = 34y + -46 Combine like terms: 25 + 21 = 46 46 + -25y + 9y = 34y + -46 Combine like terms: -25y + 9y = -16y 46 + -16y = 34y + -46 Reorder the terms: 46 + -16y = -46 + 34y Solving 46 + -16y = -46 + 34y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-34y' to each side of the equation. 46 + -16y + -34y = -46 + 34y + -34y Combine like terms: -16y + -34y = -50y 46 + -50y = -46 + 34y + -34y Combine like terms: 34y + -34y = 0 46 + -50y = -46 + 0 46 + -50y = -46 Add '-46' to each side of the equation. 46 + -46 + -50y = -46 + -46 Combine like terms: 46 + -46 = 0 0 + -50y = -46 + -46 -50y = -46 + -46 Combine like terms: -46 + -46 = -92 -50y = -92 Divide each side by '-50'. y = 1.84 Simplifying y = 1.84
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