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Simplifying -5(y + -7) = -6y Reorder the terms: -5(-7 + y) = -6y (-7 * -5 + y * -5) = -6y (35 + -5y) = -6y Solving 35 + -5y = -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 35 + -5y + 6y = -6y + 6y Combine like terms: -5y + 6y = 1y 35 + 1y = -6y + 6y Combine like terms: -6y + 6y = 0 35 + 1y = 0 Add '-35' to each side of the equation. 35 + -35 + 1y = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 1y = 0 + -35 1y = 0 + -35 Combine like terms: 0 + -35 = -35 1y = -35 Divide each side by '1'. y = -35 Simplifying y = -35
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