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Simplifying (y + -6) + -1(5y + -7) = 0 Reorder the terms: (-6 + y) + -1(5y + -7) = 0 Remove parenthesis around (-6 + y) -6 + y + -1(5y + -7) = 0 Reorder the terms: -6 + y + -1(-7 + 5y) = 0 -6 + y + (-7 * -1 + 5y * -1) = 0 -6 + y + (7 + -5y) = 0 Reorder the terms: -6 + 7 + y + -5y = 0 Combine like terms: -6 + 7 = 1 1 + y + -5y = 0 Combine like terms: y + -5y = -4y 1 + -4y = 0 Solving 1 + -4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4y = 0 + -1 -4y = 0 + -1 Combine like terms: 0 + -1 = -1 -4y = -1 Divide each side by '-4'. y = 0.25 Simplifying y = 0.25
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