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Simplifying 6(y + -1) = 5(y + 7) Reorder the terms: 6(-1 + y) = 5(y + 7) (-1 * 6 + y * 6) = 5(y + 7) (-6 + 6y) = 5(y + 7) Reorder the terms: -6 + 6y = 5(7 + y) -6 + 6y = (7 * 5 + y * 5) -6 + 6y = (35 + 5y) Solving -6 + 6y = 35 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -6 + 6y + -5y = 35 + 5y + -5y Combine like terms: 6y + -5y = 1y -6 + 1y = 35 + 5y + -5y Combine like terms: 5y + -5y = 0 -6 + 1y = 35 + 0 -6 + 1y = 35 Add '6' to each side of the equation. -6 + 6 + 1y = 35 + 6 Combine like terms: -6 + 6 = 0 0 + 1y = 35 + 6 1y = 35 + 6 Combine like terms: 35 + 6 = 41 1y = 41 Divide each side by '1'. y = 41 Simplifying y = 41
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