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Simplifying 5(5y + 5 + 5) = -25(-17 + -2y + 8) Reorder the terms: 5(5 + 5 + 5y) = -25(-17 + -2y + 8) Combine like terms: 5 + 5 = 10 5(10 + 5y) = -25(-17 + -2y + 8) (10 * 5 + 5y * 5) = -25(-17 + -2y + 8) (50 + 25y) = -25(-17 + -2y + 8) Reorder the terms: 50 + 25y = -25(-17 + 8 + -2y) Combine like terms: -17 + 8 = -9 50 + 25y = -25(-9 + -2y) 50 + 25y = (-9 * -25 + -2y * -25) 50 + 25y = (225 + 50y) Solving 50 + 25y = 225 + 50y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-50y' to each side of the equation. 50 + 25y + -50y = 225 + 50y + -50y Combine like terms: 25y + -50y = -25y 50 + -25y = 225 + 50y + -50y Combine like terms: 50y + -50y = 0 50 + -25y = 225 + 0 50 + -25y = 225 Add '-50' to each side of the equation. 50 + -50 + -25y = 225 + -50 Combine like terms: 50 + -50 = 0 0 + -25y = 225 + -50 -25y = 225 + -50 Combine like terms: 225 + -50 = 175 -25y = 175 Divide each side by '-25'. y = -7 Simplifying y = -7
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