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Simplifying 5(y + -1) = 2 + 6y Reorder the terms: 5(-1 + y) = 2 + 6y (-1 * 5 + y * 5) = 2 + 6y (-5 + 5y) = 2 + 6y Solving -5 + 5y = 2 + 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. -5 + 5y + -6y = 2 + 6y + -6y Combine like terms: 5y + -6y = -1y -5 + -1y = 2 + 6y + -6y Combine like terms: 6y + -6y = 0 -5 + -1y = 2 + 0 -5 + -1y = 2 Add '5' to each side of the equation. -5 + 5 + -1y = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -1y = 2 + 5 -1y = 2 + 5 Combine like terms: 2 + 5 = 7 -1y = 7 Divide each side by '-1'. y = -7 Simplifying y = -7
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