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Simplifying (y + -5) + -1(5y + -3) = 0 Reorder the terms: (-5 + y) + -1(5y + -3) = 0 Remove parenthesis around (-5 + y) -5 + y + -1(5y + -3) = 0 Reorder the terms: -5 + y + -1(-3 + 5y) = 0 -5 + y + (-3 * -1 + 5y * -1) = 0 -5 + y + (3 + -5y) = 0 Reorder the terms: -5 + 3 + y + -5y = 0 Combine like terms: -5 + 3 = -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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