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Simplifying (y + -5) + -1(5y + -7) = 0 Reorder the terms: (-5 + y) + -1(5y + -7) = 0 Remove parenthesis around (-5 + y) -5 + y + -1(5y + -7) = 0 Reorder the terms: -5 + y + -1(-7 + 5y) = 0 -5 + y + (-7 * -1 + 5y * -1) = 0 -5 + y + (7 + -5y) = 0 Reorder the terms: -5 + 7 + y + -5y = 0 Combine like terms: -5 + 7 = 2 2 + y + -5y = 0 Combine like terms: y + -5y = -4y 2 + -4y = 0 Solving 2 + -4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -4y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -4y = 0 + -2 -4y = 0 + -2 Combine like terms: 0 + -2 = -2 -4y = -2 Divide each side by '-4'. y = 0.5 Simplifying y = 0.5
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