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Simplifying (y + -5) + -1(y + -5) = 7y Reorder the terms: (-5 + y) + -1(y + -5) = 7y Remove parenthesis around (-5 + y) -5 + y + -1(y + -5) = 7y Reorder the terms: -5 + y + -1(-5 + y) = 7y -5 + y + (-5 * -1 + y * -1) = 7y -5 + y + (5 + -1y) = 7y Reorder the terms: -5 + 5 + y + -1y = 7y Combine like terms: -5 + 5 = 0 0 + y + -1y = 7y y + -1y = 7y Combine like terms: y + -1y = 0 0 = 7y Solving 0 = 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 0 + -7y = 7y + -7y Remove the zero: -7y = 7y + -7y Combine like terms: 7y + -7y = 0 -7y = 0 Divide each side by '-7'. y = 0 Simplifying y = 0
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