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