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Simplifying -5(y + -5) = 2y + -17 Reorder the terms: -5(-5 + y) = 2y + -17 (-5 * -5 + y * -5) = 2y + -17 (25 + -5y) = 2y + -17 Reorder the terms: 25 + -5y = -17 + 2y Solving 25 + -5y = -17 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 25 + -5y + -2y = -17 + 2y + -2y Combine like terms: -5y + -2y = -7y 25 + -7y = -17 + 2y + -2y Combine like terms: 2y + -2y = 0 25 + -7y = -17 + 0 25 + -7y = -17 Add '-25' to each side of the equation. 25 + -25 + -7y = -17 + -25 Combine like terms: 25 + -25 = 0 0 + -7y = -17 + -25 -7y = -17 + -25 Combine like terms: -17 + -25 = -42 -7y = -42 Divide each side by '-7'. y = 6 Simplifying y = 6
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