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Simplifying -5(y + -5) + 1 = 11 + -1(y + -3) Reorder the terms: -5(-5 + y) + 1 = 11 + -1(y + -3) (-5 * -5 + y * -5) + 1 = 11 + -1(y + -3) (25 + -5y) + 1 = 11 + -1(y + -3) Reorder the terms: 25 + 1 + -5y = 11 + -1(y + -3) Combine like terms: 25 + 1 = 26 26 + -5y = 11 + -1(y + -3) Reorder the terms: 26 + -5y = 11 + -1(-3 + y) 26 + -5y = 11 + (-3 * -1 + y * -1) 26 + -5y = 11 + (3 + -1y) Combine like terms: 11 + 3 = 14 26 + -5y = 14 + -1y Solving 26 + -5y = 14 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 26 + -5y + y = 14 + -1y + y Combine like terms: -5y + y = -4y 26 + -4y = 14 + -1y + y Combine like terms: -1y + y = 0 26 + -4y = 14 + 0 26 + -4y = 14 Add '-26' to each side of the equation. 26 + -26 + -4y = 14 + -26 Combine like terms: 26 + -26 = 0 0 + -4y = 14 + -26 -4y = 14 + -26 Combine like terms: 14 + -26 = -12 -4y = -12 Divide each side by '-4'. y = 3 Simplifying y = 3
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