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Simplifying -7(y + 5) = -6y + -5 Reorder the terms: -7(5 + y) = -6y + -5 (5 * -7 + y * -7) = -6y + -5 (-35 + -7y) = -6y + -5 Reorder the terms: -35 + -7y = -5 + -6y Solving -35 + -7y = -5 + -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 + -7y + 6y = -5 + -6y + 6y Combine like terms: -7y + 6y = -1y -35 + -1y = -5 + -6y + 6y Combine like terms: -6y + 6y = 0 -35 + -1y = -5 + 0 -35 + -1y = -5 Add '35' to each side of the equation. -35 + 35 + -1y = -5 + 35 Combine like terms: -35 + 35 = 0 0 + -1y = -5 + 35 -1y = -5 + 35 Combine like terms: -5 + 35 = 30 -1y = 30 Divide each side by '-1'. y = -30 Simplifying y = -30
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